3. Solve the following differential equation subject to the indicated conditions. y" – y = x + sin x, y(0) = 1, y'(0) = -3

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Pls answer question 3 

2.
Use an appropriate method to find the general solution of the following differential equations:
/ – 2y = -e2" (5 cos 2x + 9 sin 2x)
2
(b) x?y" + 15xy' + 58y = 0
(c) y" –
- y =
1-e-2r
(d) y" – 6y" + 11y – 6y = e2" (5 – 4x – 32²)
-
3.
Solve the following differential equation subject to the indicated conditions.
y" – y = x + sin x,
y(0) = 1, y'(0) = -3
Transcribed Image Text:2. Use an appropriate method to find the general solution of the following differential equations: / – 2y = -e2" (5 cos 2x + 9 sin 2x) 2 (b) x?y" + 15xy' + 58y = 0 (c) y" – - y = 1-e-2r (d) y" – 6y" + 11y – 6y = e2" (5 – 4x – 32²) - 3. Solve the following differential equation subject to the indicated conditions. y" – y = x + sin x, y(0) = 1, y'(0) = -3
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