1. Solve by D operator method d?y 2y +y x2e 3x. dy dx2 dx Solve by method of variation of parameter 2. d?y 2 dx = e* sin x. !! dx2 3. Solve the Cauchy-Euler equation x24y 4. Evaluate L (sint - cos t)². dy dx + 4x+2y = ex. dx2

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Solve questions no 2 fast in 2 min i will rate
1. Solve by D operator method
d?y
- 2y+y = x²e3x
dy
dx2
2. Solve by method of variation of parameter - 22= e* sin x.
d'y
dy
dx2
Solve the Cauchy-Euler equation x2+ 4x+ 2y = e.
Evaluate L(sint - cos t)?.
3.
dx
d?y
+ 2y = e*.
4.
dx2
dx
Transcribed Image Text:1. Solve by D operator method d?y - 2y+y = x²e3x dy dx2 2. Solve by method of variation of parameter - 22= e* sin x. d'y dy dx2 Solve the Cauchy-Euler equation x2+ 4x+ 2y = e. Evaluate L(sint - cos t)?. 3. dx d?y + 2y = e*. 4. dx2 dx
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