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y"+3y'+2y = e ; y(0)= y'(0)= 0

y"+3y'+2y = e ; y(0)= y'(0)= 0

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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Hello can you answer question a until z, since i want the same handwriting on it. I don't mind if it took longer than supposed to since i had no other choice cause im not in the right place to answer it right now. I don't mind if it deducts 24 questions from my quota too.

Using Laplace Transform solve initial value problem y"+3y'+2y = e ; y(0)=y'(0)=0 a. b. y'-3y = e*; y(0) = 4. Ans : y(t)= e" (t +4) c. y'-2y = e"; y(0) = 4. d. учу- ; у(0)-0 ; у(0)-2 e. y"-4y = e* ; y(0)=0 ; y'(0)=0 f. у+2у%3 26sin 3r (0)= 3 g. y'+2y = 4y (0) = 3 h. y"+3y'+2y = 6e ; y(0)=1 ; y'(0)= 2 i. у+4у-сos 2r ; у(0)-1 ; у(0)-1 j. y"-2y'+y = e ; y(0)=0 ; y'(0)=0 k. y"+9y= 6 ; y(0)=1 ; y'(0)=0 1. y"+y'+y =1 ; y(0)= y'(0)= 0 m. y"-4y = e' +t ; y(0)= y'(0)= y"(0)=0 n. y"+2y'+y = 3te ; y(0)= 4 ; y'(0)=2 о. у+16у3 321 ; 0)-3 ; у (0)--2 p. y"-3y'+2y = 4 ; y(0)=1 ; y'(0)= 0 q. y"+4y'+4y = 6eª ; y(0)=-2 ; y'(0)=8 Ans : y(1)= 2-2e +e" y'-3y = 6 ;y(0) Ans: y()-е* - 2 г. =-1 y'+4y +16 = 0 ;y(0)= -2 S. y"+4y = t :y(0) =0 ;y'(0)=0 Ans : y(1) sin(21) t. =-- 4 y'+3y = 9 ;y(0) =1 u. v. 3y'+y = :y(0)= 5 6. w. y'-2y = 41 – e ;>(0)= 2 y'+y-2y = 4 ;y(0)= 2 :y"(0)=1 Ans: y()--2 +Зеe +e* х. -30 y. y'+y = 4te ;>(0)= 3 2y'+y= 8te ?+6 ;y(0) = -7 Z.
Transcribed Image Text:Using Laplace Transform solve initial value problem y"+3y'+2y = e ; y(0)=y'(0)=0 a. b. y'-3y = e*; y(0) = 4. Ans : y(t)= e" (t +4) c. y'-2y = e"; y(0) = 4. d. учу- ; у(0)-0 ; у(0)-2 e. y"-4y = e* ; y(0)=0 ; y'(0)=0 f. у+2у%3 26sin 3r (0)= 3 g. y'+2y = 4y (0) = 3 h. y"+3y'+2y = 6e ; y(0)=1 ; y'(0)= 2 i. у+4у-сos 2r ; у(0)-1 ; у(0)-1 j. y"-2y'+y = e ; y(0)=0 ; y'(0)=0 k. y"+9y= 6 ; y(0)=1 ; y'(0)=0 1. y"+y'+y =1 ; y(0)= y'(0)= 0 m. y"-4y = e' +t ; y(0)= y'(0)= y"(0)=0 n. y"+2y'+y = 3te ; y(0)= 4 ; y'(0)=2 о. у+16у3 321 ; 0)-3 ; у (0)--2 p. y"-3y'+2y = 4 ; y(0)=1 ; y'(0)= 0 q. y"+4y'+4y = 6eª ; y(0)=-2 ; y'(0)=8 Ans : y(1)= 2-2e +e" y'-3y = 6 ;y(0) Ans: y()-е* - 2 г. =-1 y'+4y +16 = 0 ;y(0)= -2 S. y"+4y = t :y(0) =0 ;y'(0)=0 Ans : y(1) sin(21) t. =-- 4 y'+3y = 9 ;y(0) =1 u. v. 3y'+y = :y(0)= 5 6. w. y'-2y = 41 – e ;>(0)= 2 y'+y-2y = 4 ;y(0)= 2 :y"(0)=1 Ans: y()--2 +Зеe +e* х. -30 y. y'+y = 4te ;>(0)= 3 2y'+y= 8te ?+6 ;y(0) = -7 Z.
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