Assignment 2 Determine whether the following equation is a solution to the corresponding differential equation. 1. y = c₁e* + c₂ cos 3x + c3 sin 3x y""+y" +9y' + 9y = 0 2. y=c₁e* + c₂e-2x. 3. i 25-25e-2 -200t 19 8100 5. y sin 5x cos 3x -e³x + xe³x y" + 3y' + 2y = xe8x 90 di dt 4. x = A + By + Cy² + De-4y + 2001 - 50 = 0 xv + 4x = 0 y' = -sin 2x - 32 sin 8x

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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Assignment 2
Determine whether the following equation is a solution to the corresponding differential equation.
1. y = c₁e* + C₂ cos 3x + c3 sin 3x
y""+y" +9y' + 9y = 0
2. y = c₁e* + c₂e-2x. e +
19 8x
8100
90
-200t
3. i 25-25e-2
di
dt
4. x = A + By + Cy² + De-4y
5. y sin 5x cos 3x
xe8x y" + 3y' + 2y = xe8x
+2001 - 500
x² + 4x"" = 0
y' = -sin 2x - 32 sin 8x
Transcribed Image Text:Assignment 2 Determine whether the following equation is a solution to the corresponding differential equation. 1. y = c₁e* + C₂ cos 3x + c3 sin 3x y""+y" +9y' + 9y = 0 2. y = c₁e* + c₂e-2x. e + 19 8x 8100 90 -200t 3. i 25-25e-2 di dt 4. x = A + By + Cy² + De-4y 5. y sin 5x cos 3x xe8x y" + 3y' + 2y = xe8x +2001 - 500 x² + 4x"" = 0 y' = -sin 2x - 32 sin 8x
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