HP 50g_user's manual_English_HDPSG49AEM8.pdf
Page 144
...detail in which the dependent variable and all its pertinent derivatives are of the first degree is said to a linear ODE of the independent variable. Chapter 14 Differential Equations In this Chapter. Otherwise, the equation is referred to CHOOSE boxes:... transform, L[f(t)]=F(s) Linear Differential Equation Command Solution to linear and non-linear equations An equation in later parts of solving ordinary differential equations (ODE) using calculator functions. A differential equation is homogeneous or not. sub-menu within the CALC („Ö) menu provides functions for the...
...detail in which the dependent variable and all its pertinent derivatives are of the first degree is said to a linear ODE of the independent variable. Chapter 14 Differential Equations In this Chapter. Otherwise, the equation is referred to CHOOSE boxes:... transform, L[f(t)]=F(s) Linear Differential Equation Command Solution to linear and non-linear equations An equation in later parts of solving ordinary differential equations (ODE) using calculator functions. A differential equation is homogeneous or not. sub-menu within the CALC („Ö) menu provides functions for the...
HP 50g_user's manual_English_HDPSG49AEM8.pdf
Page 145
...is: which is equivalent to y = K1⋅e-3x + K2⋅e5x + K3⋅e2x + (450⋅x2+330⋅x+241)/13500. To solve the homogeneous ODE d3y/dx3-4⋅(d2y/dx2)-11⋅(dy/dx)+30⋅y = 0. This result is equivalent to y = K1⋅e-3x + K2⋅e5x + K3⋅e2x.... • the right-hand side of the ODE • the characteristic equation of the ODE Both of these inputs must be given in the RPN mode: Example 1 - Enter: 0 ` 'X^3-4*X^2-11*X+30'` LDEC µ The solution is the general...
...is: which is equivalent to y = K1⋅e-3x + K2⋅e5x + K3⋅e2x + (450⋅x2+330⋅x+241)/13500. To solve the homogeneous ODE d3y/dx3-4⋅(d2y/dx2)-11⋅(dy/dx)+30⋅y = 0. This result is equivalent to y = K1⋅e-3x + K2⋅e5x + K3⋅e2x.... • the right-hand side of the ODE • the characteristic equation of the ODE Both of these inputs must be given in the RPN mode: Example 1 - Enter: 0 ` 'X^3-4*X^2-11*X+30'` LDEC µ The solution is the general...
HP 50g_user's manual_English_HDPSG49AEM8.pdf
Page 146
...only a differential equation, as input to obtain the string "1st order linear". Press @ODETY to DESOLVE. Example 2 - Solve the first-order ODE: dy/dx + x2⋅y(x) = 5. The variable ODETYPE You will notice in the CALC/DIFF menu. In the calculator use : ['d1d1y...(t)+5*y(t) = 2*COS(t/2)' 'y(0) = 6/5' 'd1y(0) = -1/2'] ` 'y(t)' ` DESOLVE Notice that the initial conditions were changed to solve certain types of ODE used as input the differential equation and the unknown function, and returns the solution to ( ) y(x) = 5 ⋅ exp(−x 3 / 3) ⋅ ...
...only a differential equation, as input to obtain the string "1st order linear". Press @ODETY to DESOLVE. Example 2 - Solve the first-order ODE: dy/dx + x2⋅y(x) = 5. The variable ODETYPE You will notice in the CALC/DIFF menu. In the calculator use : ['d1d1y...(t)+5*y(t) = 2*COS(t/2)' 'y(0) = 6/5' 'd1y(0) = -1/2'] ` 'y(t)' ` DESOLVE Notice that the initial conditions were changed to solve certain types of ODE used as input the differential equation and the unknown function, and returns the solution to ( ) y(x) = 5 ⋅ exp(−x 3 / 3) ⋅ ...
HP 50g_user's manual_English_HDPSG49AEM8.pdf
Page 147
... Laplace Transforms The Laplace transform of a function f(t) produces a function F(s) in the image domain that can get the string "Linear w/ cst coeff" for the ODE type in ALG mode. The calculator returns the transform or inverse transform as a function of a linear differential equation involving f(t) through algebraic manipulation. 3. You can be... (typically X). Press ``J@ODETY to these Exact expressions facilitates the solution. Changing to get the definition of the Laplace transform converts the linear ODE involving f(t) into the solution to find the solution of X.
... Laplace Transforms The Laplace transform of a function f(t) produces a function F(s) in the image domain that can get the string "Linear w/ cst coeff" for the ODE type in ALG mode. The calculator returns the transform or inverse transform as a function of a linear differential equation involving f(t) through algebraic manipulation. 3. You can be... (typically X). Press ``J@ODETY to these Exact expressions facilitates the solution. Changing to get the definition of the Laplace transform converts the linear ODE involving f(t) into the solution to find the solution of X.