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.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.2: Systems Of Linear Equations In Two Variables
Problem 52E
icon
Related questions
Question

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.
Expert Solution
steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage