HP 50g_user's manual_English_HDPSG49AEM8.pdf
Page 10
... 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 - Probability...
... 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 - Probability...
HP 50g_user's manual_English_HDPSG49AEM8.pdf
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... present examples of the independent variable. They will be non-linear. DESOLVE: ILAP: LAP: LDEC: Differential Equation SOLVEr, solves differential equations, when possible Inverse LAPlace transform, L-1[F(s)] = f(t) LAPlace transform, L[f(t)]=F(s) Linear Differential Equation Command Solution to as a linear differential equation. The menu is an equation involving derivatives of solving ordinary differential equations (ODE) using...
... present examples of the independent variable. They will be non-linear. DESOLVE: ILAP: LAP: LDEC: Differential Equation SOLVEr, solves differential equations, when possible Inverse LAPlace transform, L-1[F(s)] = f(t) LAPlace transform, L[f(t)]=F(s) Linear Differential Equation Command Solution to as a linear differential equation. The menu is an equation involving derivatives of solving ordinary differential equations (ODE) using...
HP 50g_user's manual_English_HDPSG49AEM8.pdf
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...function found in the image domain that can get the string "Linear w/ cst coeff" for the ODE type in ALG mode. Laplace Transforms The Laplace transform of a linear differential equation involving f(t) through algebraic manipulation. 3. The steps involved in the image domain through algebraic methods. ... this application are available under the CALC/DIFF menu. The calculator returns the transform or inverse transform as a function of the Laplace transform converts the linear ODE involving f(t) into the solution to ALG mode is solved for decimal values use the following: 'f(X)'`LAP...
...function found in the image domain that can get the string "Linear w/ cst coeff" for the ODE type in ALG mode. Laplace Transforms The Laplace transform of a linear differential equation involving f(t) through algebraic manipulation. 3. The steps involved in the image domain through algebraic methods. ... this application are available under the CALC/DIFF menu. The calculator returns the transform or inverse transform as a function of the Laplace transform converts the linear ODE involving f(t) into the solution to ALG mode is solved for decimal values use the following: 'f(X)'`LAP...
HP 50g_user's manual_English_HDPSG49AEM8.pdf
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Determine the inverse Laplace transform of n. Function FOURIER Function FOURIER provides the coefficient cn of the complex-form of the Fourier series given the function f(t) ...exp( 2 ⋅ i ⋅ n ⋅π ⋅ t) ⋅ dt, 0 T n 2,−1,0,1,2,...∞. Fourier series A complex Fourier series is the Laplace transform of f(X). Compare these expressions with the one given earlier in the definition of the Laplace transform, i.e., ∫ L{f (t)}= F (s) = ∞ f (t) ⋅ e−stdt, 0 and you will notice that L -1{1/(s+1)2} = x⋅e-x. Use: '1/(X+1)^2'`...
Determine the inverse Laplace transform of n. Function FOURIER Function FOURIER provides the coefficient cn of the complex-form of the Fourier series given the function f(t) ...exp( 2 ⋅ i ⋅ n ⋅π ⋅ t) ⋅ dt, 0 T n 2,−1,0,1,2,...∞. Fourier series A complex Fourier series is the Laplace transform of f(X). Compare these expressions with the one given earlier in the definition of the Laplace transform, i.e., ∫ L{f (t)}= F (s) = ∞ f (t) ⋅ e−stdt, 0 and you will notice that L -1{1/(s+1)2} = x⋅e-x. Use: '1/(X+1)^2'`...
HP 50g_user's manual_English_HDPSG49AEM8.pdf
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Thus, c0 = 1/3, c1 = (π⋅i+2)/π2, c2 = (π⋅i+1)/(2π2). The Fourier series with three elements will be written as numerical and graphical methods, see Chapter 16 in the calculator's user's guide. Page 14-7 Reference For additional definitions, applications, and exercises on solving differential equations, using Laplace transform, and Fourier series and transforms, as well as g(t) ≈ Re[(1/3) + (π⋅i+2)/π2⋅exp(i⋅π⋅t)+ (π⋅i+1)/(2π2)⋅exp(2⋅i⋅π⋅t)].
Thus, c0 = 1/3, c1 = (π⋅i+2)/π2, c2 = (π⋅i+1)/(2π2). The Fourier series with three elements will be written as numerical and graphical methods, see Chapter 16 in the calculator's user's guide. Page 14-7 Reference For additional definitions, applications, and exercises on solving differential equations, using Laplace transform, and Fourier series and transforms, as well as g(t) ≈ Re[(1/3) + (π⋅i+2)/π2⋅exp(i⋅π⋅t)+ (π⋅i+1)/(2π2)⋅exp(2⋅i⋅π⋅t)].