y" + 4y' + 5y = 35e-4x, y(0) = -2, y'(0) = 1

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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Solve the given initial value problem.
y(x) =
y" + 4y' + 5y = 35e-4x, y(0)= -2, y'(0) = 1
7 exp(4x) + exp(2x) (9 sin(x) — 11 cos(x))
exp(2x) + 7 exp(2x) (11 sin(x) + 9 cos(x))
5 exp(3x) - 3 exp(3x) (sin(2x) + cos(2x))
9 sin(x) - 11 cos(x) + 7 exp(-4x) + exp(-2x)
7 exp(-4x) + exp(-2x) (11 sin(x) - 9 cos(x))
3 exp(-2x) + 4x² exp(2x) + 9 sin(2x) - 11 cos(2x)
7 exp(-2x) + x exp(-2x) + 11 sin(x) - 9 cos(x)
0
No solution
Transcribed Image Text:Solve the given initial value problem. y(x) = y" + 4y' + 5y = 35e-4x, y(0)= -2, y'(0) = 1 7 exp(4x) + exp(2x) (9 sin(x) — 11 cos(x)) exp(2x) + 7 exp(2x) (11 sin(x) + 9 cos(x)) 5 exp(3x) - 3 exp(3x) (sin(2x) + cos(2x)) 9 sin(x) - 11 cos(x) + 7 exp(-4x) + exp(-2x) 7 exp(-4x) + exp(-2x) (11 sin(x) - 9 cos(x)) 3 exp(-2x) + 4x² exp(2x) + 9 sin(2x) - 11 cos(2x) 7 exp(-2x) + x exp(-2x) + 11 sin(x) - 9 cos(x) 0 No solution
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