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y'"'+12y " +36y'=0; y (0) = 0; y'(0) = 1;y" (0) = -7

y'"'+12y " +36y'=0; y (0) = 0; y'(0) = 1;y" (0) = -7

Advanced Engineering Mathematics
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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Please answer the last three questions ty.

QUESTION 1 Find the solution to the given differential equation. D.y" + 8y'+ 16y=0 F. 3y" + 2y'+y=0 C.-4y" - 5y'=0 ✓y""+12y" +36y'=0; y (0) =0; y'(0) = 1;y" (0) = -7 y"+y" - 2y=0 ✓y" - 4y'- 5y=0; y (1) = 0; y'(1)=2 A. B. y = F. y = - 1 3 5 36 y=e -e -(t-1) 5 36 +c₂₂e - 4x '+ C.y=c { D.y=c₁e E₁y=c₁e¹+e (c cost+c_sint) 27 (0,005-√2 x + + c 3 1 -6.x e + ·xe 6 +c 5 (1-1) -4x - 6x (c,cos- Sin V² 3 x+c_sin- x)
Transcribed Image Text:QUESTION 1 Find the solution to the given differential equation. D.y" + 8y'+ 16y=0 F. 3y" + 2y'+y=0 C.-4y" - 5y'=0 ✓y""+12y" +36y'=0; y (0) =0; y'(0) = 1;y" (0) = -7 y"+y" - 2y=0 ✓y" - 4y'- 5y=0; y (1) = 0; y'(1)=2 A. B. y = F. y = - 1 3 5 36 y=e -e -(t-1) 5 36 +c₂₂e - 4x '+ C.y=c { D.y=c₁e E₁y=c₁e¹+e (c cost+c_sint) 27 (0,005-√2 x + + c 3 1 -6.x e + ·xe 6 +c 5 (1-1) -4x - 6x (c,cos- Sin V² 3 x+c_sin- x)
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