Question

In the problems, obtain the general solution of the DE. If you cannot find yp by inspection, use the method of undetermined coefficients. y'' = 1 y'' + y' - 2y = 3 - 6t y'' - y' - 2y = 6et

Name: in the problems obtain the general solution of the de if you cannot find yp by inspection use the method of undetermined coefficients y 1 y y 2y 3 6t y y 2y 6et 41448
Uploaded: 2023-06-21T21:25:11-08:00
Duration: 3 min 21 s
Channel: Adi S
Description: in the problems obtain the general solution of the de if you cannot find yp by inspection use the method of undetermined coefficients y 1 y y 2y 3 6t y y 2y 6et 41448

          In the problems, obtain the general solution of the DE. If you cannot find yp by inspection, use the method of undetermined coefficients.
y'' = 1
y'' + y' - 2y = 3 - 6t
y'' - y' - 2y = 6et

Added by Mario H.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Adi S

06/21/2023

Step 1

For the second DE, y" + y' - 2y = 3 - 6t, we first find the complementary solution by solving the characteristic equation: r^2 + r - 2 = 0 which factors as (r+2)(r-1) = 0, so the roots are r=-2 and r=1. Show more…

Show all steps

Thanks for your feedback!

In the problems, obtain the general solution of the DE. If you cannot find yp by inspection, use the method of undetermined coefficients. y'' = 1 y'' + y' - 2y = 3 - 6t y'' - y' - 2y = 6et