Solve -) y''-y'- 2 y = 6 x e2x - 2 e*, y (0) = 1, y' (0) = 1 %3D y''- 2 y'+ y = x (e - e*), y (0) = -1, y ' (0) = 0 %3D %3D

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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(please solve a and b within 15 minutes i will give multiple thumbs up)
Solve
y''-y' - 2 y = 6 x e? × - 2 e*,
y (0) = 1, y' (0) = 1
A)
%3D
B) y''- 2 y' +y = x (e* - e *),
y (0) = -1, y ' (0) = 0
%3D
%3D
%3D
C)
y'' - 4 y' + 5 y = (4 e2x- 8 e 2*) Cos (x),
%3D
y (0) = 2, y ' (0) = -1
%3D
%3D
Transcribed Image Text:Solve y''-y' - 2 y = 6 x e? × - 2 e*, y (0) = 1, y' (0) = 1 A) %3D B) y''- 2 y' +y = x (e* - e *), y (0) = -1, y ' (0) = 0 %3D %3D %3D C) y'' - 4 y' + 5 y = (4 e2x- 8 e 2*) Cos (x), %3D y (0) = 2, y ' (0) = -1 %3D %3D
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