1. Use the method of variation of parameters to obtain general solutions of the following ODES. (b) y"" - y = ex cos x, Hint: You can use the following facts about two indefinite integrals: -∞ < x < ∞. 1 [es cos(s) ds = e³ (sin(s) + cos(s)) + C, [e²s cos(s) ds = 5 es e²s (sin(s) +2 cos(s)) + C.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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1.
Use the method of variation of parameters to obtain general solutions of
the following ODES.
(b)
y"" y e* cos x,
=
Hint: You can use the following facts about two indefinite integrals:
1
[e³ cos (s) ds = es (sin(s) + cos(s)) + C,
2
[e²s cos(s) ds = e²s (sin(s) + 2 cos(s)) + C.
-∞0 < x < ∞.
Transcribed Image Text:1. Use the method of variation of parameters to obtain general solutions of the following ODES. (b) y"" y e* cos x, = Hint: You can use the following facts about two indefinite integrals: 1 [e³ cos (s) ds = es (sin(s) + cos(s)) + C, 2 [e²s cos(s) ds = e²s (sin(s) + 2 cos(s)) + C. -∞0 < x < ∞.
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