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Find the solution to the given differential equation. "+8y'+ 16y=0 3y" +2y'+y=0 y"-4y" - 5y'=0 ✓y"+12y" + 36y'=0; y (0) = 0; y'(0) = 1;y" (0) = -7 Vy"+y" - 2y=0 ✓y" - 4y'-5y=0; y (1) = 0; y' (1)=2

Find the solution to the given differential equation. "+8y'+ 16y=0 3y" +2y'+y=0 y"-4y" - 5y'=0 ✓y"+12y" + 36y'=0; y (0) = 0; y'(0) = 1;y" (0) = -7 Vy"+y" - 2y=0 ✓y" - 4y'-5y=0; y (1) = 0; y' (1)=2

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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QUESTION 1 Find the solution to the given differential equation. "+8y'+ 16y=0 ✓3y" + 2y'+y=0 Vy"-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. 5 y = B. 36 -X 3 E. -1 y = 5 C₁y=c₁e¹+e D.y=c₁+c₂e 3 36 y=e (c_cos e e 1 -6x + ·xe 6 -t 3 -(t-1) (c_cost+c sint) -x e-*+€₂e² зел +c + -x+c sin- - F₁y=c₁e4x+c₁ 2 te - 6x 3 - 4x ,5 (t-1) 3
Transcribed Image Text:QUESTION 1 Find the solution to the given differential equation. "+8y'+ 16y=0 ✓3y" + 2y'+y=0 Vy"-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. 5 y = B. 36 -X 3 E. -1 y = 5 C₁y=c₁e¹+e D.y=c₁+c₂e 3 36 y=e (c_cos e e 1 -6x + ·xe 6 -t 3 -(t-1) (c_cost+c sint) -x e-*+€₂e² зел +c + -x+c sin- - F₁y=c₁e4x+c₁ 2 te - 6x 3 - 4x ,5 (t-1) 3
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