termine the general/particular solution (whichever applies): + 4y' + 4y =(3+x) e -2, when x = 0, y = 2, y'=5 * ²2² ² -2x -2x y=2e-2²-3xe +(3+x²–- 12 x) 0² -2x y=2e 9xe + -2x -2x * 5 = 26 -² -2² -² + ( ²3 ²³²+ + x²])--= y=2e-2x-xe-2_ * y = 26²³ + 4x² y=2e²+ 4xe" 2x + ( + x³ + 2 x ²) ² 2r

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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Determine the general/particular solution (whichever applies):
-2x
y"+ 4y + 4y =(3+x) e when x = 0, y = 2, y'=5
y = 2e
-2x
y = 2e
-2r
y=2e + 9xe
– 3xe
-2x
- xe
2r
y=2e + 4xe
1
-2r
-2r
* + ( + x^² - + + ) - ~
--xe
3
-2x
+
+
+
-2x
+ 232x² 0 - ²x
(²1²x1² + 1/ x²)
-2x
+ (-—- — × ² + — + ²) ²
Transcribed Image Text:Determine the general/particular solution (whichever applies): -2x y"+ 4y + 4y =(3+x) e when x = 0, y = 2, y'=5 y = 2e -2x y = 2e -2r y=2e + 9xe – 3xe -2x - xe 2r y=2e + 4xe 1 -2r -2r * + ( + x^² - + + ) - ~ --xe 3 -2x + + + -2x + 232x² 0 - ²x (²1²x1² + 1/ x²) -2x + (-—- — × ² + — + ²) ²
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