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Exercises. Find the general solution to the given differential equation. If there is an initial value, find the solution to the IVP. (1) y" - 2y- 3y = e" (3x - 8) (2) y" + 4y = e-"(5x? - 4r + 7) (3) y" - 4y' - 5y = -6xe- (4) y"- 4y- 5y = 9e2 (x+ 1); y(0) = 0, y'(0) = -10

Exercises. Find the general solution to the given differential equation. If there is an initial value, find the solution to the IVP. (1) y" - 2y- 3y = e" (3x - 8) (2) y" + 4y = e-"(5x? - 4r + 7) (3) y" - 4y' - 5y = -6xe- (4) y"- 4y- 5y = 9e2 (x+ 1); y(0) = 0, y'(0) = -10

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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Exercises. Find the general solution to the given differential equation. If there is an initial value, find the solution to the IVP. (1) y" - 2y' – 3y = e" (3r – 8) (2) y" + 4y = e-(5x2 - 4.x + 7) (3) y" – 4y' - 5y = -6xe- (4) y" – 4y – 5y = 9e2 (x + 1); y(0) = 0, y'(0) = -10
Transcribed Image Text:Exercises. Find the general solution to the given differential equation. If there is an initial value, find the solution to the IVP. (1) y" - 2y' – 3y = e" (3r – 8) (2) y" + 4y = e-(5x2 - 4.x + 7) (3) y" – 4y' - 5y = -6xe- (4) y" – 4y – 5y = 9e2 (x + 1); y(0) = 0, y'(0) = -10
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