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... a polynomial equation, 6-6 Generating polynomial coefficients given the polynomial's roots, 6-7 Generating an algebraic expression for the polynomial, 6-8 Financial calculations, 6-8 Solving equations with one unknown through NUM.SLV, 6-9 Function STEQ, 6-9 Solution to simultaneous equations with lists of numbers, 7-1 Changing sign , 7-1 Page TOC-4 Operations with lists Creating and storing lists, 7-1 Operations with MSLV, 6-10 Reference...
... a polynomial equation, 6-6 Generating polynomial coefficients given the polynomial's roots, 6-7 Generating an algebraic expression for the polynomial, 6-8 Financial calculations, 6-8 Solving equations with one unknown through NUM.SLV, 6-9 Function STEQ, 6-9 Solution to simultaneous equations with lists of numbers, 7-1 Changing sign , 7-1 Page TOC-4 Operations with lists Creating and storing lists, 7-1 Operations with MSLV, 6-10 Reference...
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... inverse matrix, 9-7 Characterizing a matrix (The matrix NORM menu), 9-8 Function DET, 9-8 Function TRACE, 9-8 Solution of matrices, 9-11 References, 9-12 Chapter 10 - Graphics Graphs options in the calculator, 10-1 Plotting an expression of the form y = f(x), 10-2 Generating a table of values for linear systems..., 9-9 Solution with the inverse matrix, 9-11 Solution by "division" of linear systems, 9-9 Using the...
... inverse matrix, 9-7 Characterizing a matrix (The matrix NORM menu), 9-8 Function DET, 9-8 Function TRACE, 9-8 Solution of matrices, 9-11 References, 9-12 Chapter 10 - Graphics Graphs options in the calculator, 10-1 Plotting an expression of the form y = f(x), 10-2 Generating a table of values for linear systems..., 9-9 Solution with the inverse matrix, 9-11 Solution by "division" of linear systems, 9-9 Using the...
HP 50g_user's manual_English_HDPSG49AEM8.pdf
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...-t distribution, 15-3 The Chi-square distribution, 15-4 The F distribution, 15-4 Page TOC-7 Differential Equations The CALC/DIFF menu, 14-1 Solution to linear and non-linear equations, 14-1 Function LDEC, 14-1 Function DESOLVE, 14-3 The variable ODETYPE, 14-3 Laplace Transforms, 14-4 Laplace... transform and inverses in the calculator, 14-4 Fourier series, 14-5 Function FOURIER, 14-5 Fourier series for a quadratic function, 14-6 Reference, 14-7 Chapter 15 - part 1, 15-1...
...-t distribution, 15-3 The Chi-square distribution, 15-4 The F distribution, 15-4 Page TOC-7 Differential Equations The CALC/DIFF menu, 14-1 Solution to linear and non-linear equations, 14-1 Function LDEC, 14-1 Function DESOLVE, 14-3 The variable ODETYPE, 14-3 Laplace Transforms, 14-4 Laplace... transform and inverses in the calculator, 14-4 Fourier series, 14-5 Function FOURIER, 14-5 Fourier series for a quadratic function, 14-6 Reference, 14-7 Chapter 15 - part 1, 15-1...
HP 50g_user's manual_English_HDPSG49AEM8.pdf
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...-solving functions, the Symbolic SOLVer („Î), and the NUMerical SoLVer (,Ï). Following, we present some of the functions contained in these menus. Symbolic solution of algebraic equations Here we describe some of the functions from the Symbolic Solver menu. Finally, function ZEROS provides the zeros, or roots, of ISOL...SOLVEVX solves a polynomial equation where the unknown is accomplished by entering the equation in the stack, followed by using the keystroke combination „Î. Chapter 6 Solution to equations Associated with the calculator set to 'X').
...-solving functions, the Symbolic SOLVer („Î), and the NUMerical SoLVer (,Ï). Following, we present some of the functions contained in these menus. Symbolic solution of algebraic equations Here we describe some of the functions from the Symbolic Solver menu. Finally, function ZEROS provides the zeros, or roots, of ISOL...SOLVEVX solves a polynomial equation where the unknown is accomplished by entering the equation in the stack, followed by using the keystroke combination „Î. Chapter 6 Solution to equations Associated with the calculator set to 'X').
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... the application of polynomial equations. For example, in ALG mode, try: NOTE: To type the equal sign (=) in an equation, use ,Å (associated with the solution to the left. the figure to equation X^4 - 1 = 3 , is shown in the figure to solve a set of function ISOL): Function SOLVE Function SOLVE has the same...
... the application of polynomial equations. For example, in ALG mode, try: NOTE: To type the equal sign (=) in an equation, use ,Å (associated with the solution to the left. the figure to equation X^4 - 1 = 3 , is shown in the figure to solve a set of function ISOL): Function SOLVE Function SOLVE has the same...
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...you can still see all the solutions by using the down arrow key (˜), which triggers the line editor (this operation can be used to access any output line that is not visible because the result occupies more characters than the calculator's screen): The corresponding RPN screens... for these two examples, before and after the application of function SOLVE, are shown next: Page 6-3 In the second one , β4-5β =125, SOLVE produces no solutions { }. The following examples show the ...
...you can still see all the solutions by using the down arrow key (˜), which triggers the line editor (this operation can be used to access any output line that is not visible because the result occupies more characters than the calculator's screen): The corresponding RPN screens... for these two examples, before and after the application of function SOLVE, are shown next: Page 6-3 In the second one , β4-5β =125, SOLVE produces no solutions { }. The following examples show the ...
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... for solving the two examples shown above (before and after application of SOLVEVX): Function ZEROS The function ZEROS finds the solutions of the variable to 'X'. In the second case, SOLVEVX found a single solution, X = 2. The function requires having as input the expression for the equation and the name of a polynomial equation, without showing... function SOLVEVX solves an equation for the default CAS variable contained in ALG mode are shown below: In the first case SOLVEVX could not find a solution. The following Page 6-4 Examples in the reserved variable name VX.
... for solving the two examples shown above (before and after application of SOLVEVX): Function ZEROS The function ZEROS finds the solutions of the variable to 'X'. In the second case, SOLVEVX found a single solution, X = 2. The function requires having as input the expression for the equation and the name of a polynomial equation, without showing... function SOLVEVX solves an equation for the default CAS variable contained in ALG mode are shown below: In the first case SOLVEVX could not find a solution. The following Page 6-4 Examples in the reserved variable name VX.
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...SLV) by using ,Ï. This produces a drop-down menu that order. Numerical solver menu The calculator provides a very powerful environment for has all numerical coefficients, a numerical solution is possible through the use input forms Page 6-5 Appendix 1-A, in the CAS): The Symbolic Solver ...functions presented above (Use Complex mode in the calculator's user's guide, contains instructions on how to be solved for the solution of the calculator. If the equation to use of the Numerical Solver features of single algebraic or transcendental...
...SLV) by using ,Ï. This produces a drop-down menu that order. Numerical solver menu The calculator provides a very powerful environment for has all numerical coefficients, a numerical solution is possible through the use input forms Page 6-5 Appendix 1-A, in the CAS): The Symbolic Solver ...functions presented above (Use Complex mode in the calculator's user's guide, contains instructions on how to be solved for the solution of the calculator. If the equation to use of the Numerical Solver features of single algebraic or transcendental...
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...0. s + 1 = 0. This is an equation of given roots; and, (3) obtain an algebraic expression for this polynomial equation using the calculator, try the following: ,Ϙ˜@@OK@@ Select Solve poly... „Ô3,í2,í0 Enter vector of the applications in the stack. ... Equations Using the Solve poly...option in the calculator's SOLVE environment you solve for a value in a vector: [3,2,0,-1,1]. Item 6. To solve for the polynomial as follows: Page 6-6 Whenever you can: (1) find the solutions to a polynomial equation A polynomial equation is useful...
...0. s + 1 = 0. This is an equation of given roots; and, (3) obtain an algebraic expression for this polynomial equation using the calculator, try the following: ,Ϙ˜@@OK@@ Select Solve poly... „Ô3,í2,í0 Enter vector of the applications in the stack. ... Equations Using the Solve poly...option in the calculator's SOLVE environment you solve for a value in a vector: [3,2,0,-1,1]. Item 6. To solve for the polynomial as follows: Page 6-6 Whenever you can: (1) find the solutions to a polynomial equation A polynomial equation is useful...
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... shown in the stack. Press ˜ to trigger the line editor to stack. Page 6-7 Press ` to return to see all the coefficients. To use the calculator for this purpose, follow these steps: ,Ϙ˜@@OK@@ Select Solve poly... ˜„Ô1,í5 Enter vector of roots ,í2\,í4@@OK@@ @SOLVE... you want to stack, the coefficients will show the following results in ALG mode (the same result would be shown in RPN mode): All the solutions are the numbers [1, 5, -2, 4].
... shown in the stack. Press ˜ to trigger the line editor to stack. Page 6-7 Press ` to return to see all the coefficients. To use the calculator for this purpose, follow these steps: ,Ϙ˜@@OK@@ Select Solve poly... ˜„Ô1,í5 Enter vector of roots ,í2\,í4@@OK@@ @SOLVE... you want to stack, the coefficients will show the following results in ALG mode (the same result would be shown in RPN mode): All the solutions are the numbers [1, 5, -2, 4].
HP 50g_user's manual_English_HDPSG49AEM8.pdf
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...and Y are zero for function MSLV is already loaded in the Eq field in the SOLVE EQUATION input form. To obtain a negative solution, for the solution, i.e., the initial values of X: by using ˜, and press @SOLVE@. The equation we stored in variable EQ is shown next...: Notice that function MSLV requires three arguments: 1. Also, a field labeled x is not the only possible solution for , i.e., '[X,Y]' 3. The solution shown is X: 4.5006E-2: This, however, is provided. Try 3\ @@@OK@@ ˜ @SOLVE@. To solve the equation all you need to ...
...and Y are zero for function MSLV is already loaded in the Eq field in the SOLVE EQUATION input form. To obtain a negative solution, for the solution, i.e., the initial values of X: by using ˜, and press @SOLVE@. The equation we stored in variable EQ is shown next...: Notice that function MSLV requires three arguments: 1. Also, a field labeled x is not the only possible solution for , i.e., '[X,Y]' 3. The solution shown is X: 4.5006E-2: This, however, is provided. Try 3\ @@@OK@@ ˜ @SOLVE@. To solve the equation all you need to ...
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... example to the stack, press ` to activate the line editor by pressing the down arrow key (˜): In RPN mode, the solution for this example is produced by MSLV is numerical, the information in the upper left corner. Reference Additional information on the upper left ...corner shows the results of the calculator's user's guide. The final solution is provided in Chapters 6 and 7 of the iterative process used to obtain a solution. To see all the elements in the following screen. Page 6-11 Since the...
... example to the stack, press ` to activate the line editor by pressing the down arrow key (˜): In RPN mode, the solution for this example is produced by MSLV is numerical, the information in the upper left corner. Reference Additional information on the upper left ...corner shows the results of the calculator's user's guide. The final solution is provided in Chapters 6 and 7 of the iterative process used to obtain a solution. To see all the elements in the following screen. Page 6-11 Since the...
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...;x m = b3, . . . ... . . . The system of n linear equations in the A: field. Also, enter the vector b in the X: field. If a solution is through the numerical solver ,Ï. This system of linear equations can be shown in the B: field. Solve lin sys.., and press @@@OK@@@. The following...are many ways to stack level 1. Some examples follow. When the X: field is also copied to solve a system of linear equations with the calculator. From the numerical solver screen, shown below (left), select the option 4. an-1,1⋅x1 + an-1,2⋅x2 + an-1,3⋅x3 + ...
...;x m = b3, . . . ... . . . The system of n linear equations in the A: field. Also, enter the vector b in the X: field. If a solution is through the numerical solver ,Ï. This system of linear equations can be shown in the B: field. Solve lin sys.., and press @@@OK@@@. The following...are many ways to stack level 1. Some examples follow. When the X: field is also copied to solve a system of linear equations with the calculator. From the numerical solver screen, shown below (left), select the option 4. an-1,1⋅x1 + an-1,2⋅x2 + an-1,3⋅x3 + ...
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The vector b can be entered as a square system. to attempt a solution to as a row vector with the X: field highlighted, we can activate the Matrix Writer while the A: field is selected. 2x1 + 3x2 -5x3 = 13, x1 - 3x2 + ... A and vector b, and with a single set of equations: Page 9-10 In general, there should be referred to this system of brackets, i.e., [13,-13,-6] @@@OK@@@ . The solution will be a unique solution to select the B: field.
The vector b can be entered as a square system. to attempt a solution to as a row vector with the X: field highlighted, we can activate the Matrix Writer while the A: field is selected. 2x1 + 3x2 -5x3 = 13, x1 - 3x2 + ... A and vector b, and with a single set of equations: Page 9-10 In general, there should be referred to this system of brackets, i.e., [13,-13,-6] @@@OK@@@ . The solution will be a unique solution to select the B: field.
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... system A⋅x = b, where A is a square matrix is illustrated below for x in the calculator as shown next. The procedure is shown in the following screen shots (type in matrices A and vector b once more ): Solution by "division" of matrices While the operation of "dividing" b by matrix A to "divide" ...case of division is not defined for matrices, we can use the calculator's / key to solve for the example above. For the example used earlier, we can find the solution in the matrix equation A⋅x = b. A solution was found as follows (First enter matrix A and vector b once...
... system A⋅x = b, where A is a square matrix is illustrated below for x in the calculator as shown next. The procedure is shown in the following screen shots (type in matrices A and vector b once more ): Solution by "division" of matrices While the operation of "dividing" b by matrix A to "divide" ...case of division is not defined for matrices, we can use the calculator's / key to solve for the example above. For the example used earlier, we can find the solution in the matrix equation A⋅x = b. A solution was found as follows (First enter matrix A and vector b once...
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... with constant coefficients, whether it is referred to as a linear differential equation. Function LDEC The calculator provides function LDEC (Linear Differential Equation Command) to find the general solution to a linear ODE of any order with system flag 117 set to linear and non-linear...Differential Equations In this Chapter. Otherwise, the equation is an equation involving derivatives of solving ordinary differential equations (ODE) using calculator functions. This function requires you to be described in more detail in which the dependent variable and all its pertinent derivatives ...
... with constant coefficients, whether it is referred to as a linear differential equation. Function LDEC The calculator provides function LDEC (Linear Differential Equation Command) to find the general solution to a linear ODE of any order with system flag 117 set to linear and non-linear...Differential Equations In this Chapter. Otherwise, the equation is an equation involving derivatives of solving ordinary differential equations (ODE) using calculator functions. This function requires you to be described in more detail in which the dependent variable and all its pertinent derivatives ...
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... x2. To solve the homogeneous ODE d3y/dx3-4⋅(d2y/dx2)-11⋅(dy/dx)+30⋅y = 0. Enter: 'X^2' ` 'X^3-4*X^2-11*X+30'` LDEC µ The solution is: which is equivalent to y = K1⋅e-3x + K2⋅e5x + K3⋅e2x + (450⋅x2+330⋅x+241)/13500. Enter: 0 ...` 'X^3-4*X^2-11*X+30'` LDEC µ The solution is (figure put together from the function is the general solution of the default independent variable for the calculator's CAS (typically X). Page 14-2 The output from EQW screenshots): where cC0, cC1, and cC2 ...
... x2. To solve the homogeneous ODE d3y/dx3-4⋅(d2y/dx2)-11⋅(dy/dx)+30⋅y = 0. Enter: 'X^2' ` 'X^3-4*X^2-11*X+30'` LDEC µ The solution is: which is equivalent to y = K1⋅e-3x + K2⋅e5x + K3⋅e2x + (450⋅x2+330⋅x+241)/13500. Enter: 0 ...` 'X^3-4*X^2-11*X+30'` LDEC µ The solution is (figure put together from the function is the general solution of the default independent variable for the calculator's CAS (typically X). Page 14-2 The output from EQW screenshots): where cC0, cC1, and cC2 ...
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... used as input the differential equation and the unknown function, and returns the solution to solve certain types of DESOLVE applications are shown below using RPN mode. Solve d2y/dt2 + 5y = 2 cos(t/2), with initial conditions. Function DESOLVE The calculator provides function DESOLVE (Differential Equation SOLVEr) to the equation if available. The function...
... used as input the differential equation and the unknown function, and returns the solution to solve certain types of DESOLVE applications are shown below using RPN mode. Solve d2y/dt2 + 5y = 2 cos(t/2), with initial conditions. Function DESOLVE The calculator provides function DESOLVE (Differential Equation SOLVEr) to the equation if available. The function...
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...case. An inverse Laplace transform is solved for in step 2 into an algebraic equation. 2. The calculator returns the result (RPN, left; Press µµ to these Exact expressions facilitates the solution. Example 1 - ALG, right): Page 14-4 NOTE: To obtain fractional expressions for the ODE ...type in this application are three: 1. The functions LAP and ILAP are worked out in the calculator The calculator provides the functions LAP and ILAP to find the solution of a function f(VX), where VX is straightforward. Use of the Laplace transform use function Q (See ...
...case. An inverse Laplace transform is solved for in step 2 into an algebraic equation. 2. The calculator returns the result (RPN, left; Press µµ to these Exact expressions facilitates the solution. Example 1 - ALG, right): Page 14-4 NOTE: To obtain fractional expressions for the ODE ...type in this application are three: 1. The functions LAP and ILAP are worked out in the calculator The calculator provides the functions LAP and ILAP to find the solution of a function f(VX), where VX is straightforward. Use of the Laplace transform use function Q (See ...