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Let Ур be the particular solution to the nonhomogeneous ODE. Choose a suitable trial solution, of similar form to 10 sin (9 t), then solve for the unknown coefficients.

Let Ур be the particular solution to the nonhomogeneous ODE. Choose a suitable trial solution, of similar form to 10 sin (9 t), then solve for the unknown coefficients.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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for the 2nd order nonhomogenous ode y''+4y = 10sin(9pi x t)

Let Ур be the particular solution to the nonhomogeneous ODE. Choose a suitable trial solution, of similar form to 10 sin (9 t), then solve for the unknown coefficients.
Transcribed Image Text:Let Ур be the particular solution to the nonhomogeneous ODE. Choose a suitable trial solution, of similar form to 10 sin (9 t), then solve for the unknown coefficients.
Solve the characteristic equation then give the general solution to the homogeneous ODE. You do not have to derive the full solution - simply choose a standard form based on the solution to the characteristic equation. Let this solution be the complementary solution, yc.
Transcribed Image Text:Solve the characteristic equation then give the general solution to the homogeneous ODE. You do not have to derive the full solution - simply choose a standard form based on the solution to the characteristic equation. Let this solution be the complementary solution, yc.
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