Solve the differential equation by variation of parameters, subject to the initial conditions y(0) = y(x) = y" + 2y' - -8y = 4e7 7 2x 9 + -2x 11 -4x 8 e - e-x + 1 -X e 1 -e 2 -2x 1, y'(0) = 0.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
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4.6.7

Solve the differential equation by variation of parameters, subject to the initial conditions y(0) = 1, y'(0) = 0.
y" + 2y' - 8y = 4e7
e-x
y(x)
7 2x 11
+
9
8
e
-2x
- 4x
+
gex
1/7e-2x
Transcribed Image Text:Solve the differential equation by variation of parameters, subject to the initial conditions y(0) = 1, y'(0) = 0. y" + 2y' - 8y = 4e7 e-x y(x) 7 2x 11 + 9 8 e -2x - 4x + gex 1/7e-2x
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