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Ans. y=10 cost + 2 sint-√√2 sin√√2t 5. 2y+3y"-3y'-2y=e', y(0)=y'(0) = 0, y"(0) = 1 8 1 Ans. y 9 -1/2 + 9 -21 + 5 ·e' + 18 1 2

Ans. y=10 cost + 2 sint-√√2 sin√√2t 5. 2y+3y"-3y'-2y=e', y(0)=y'(0) = 0, y"(0) = 1 8 1 Ans. y 9 -1/2 + 9 -21 + 5 ·e' + 18 1 2

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.1: Solutions Of Elementary And Separable Differential Equations
Problem 2YT
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Use laplace transform to solve the given initial value problem. 

 

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3. y"(t)+5y'(t)+4y(t) = 0, y(0) = 1, y'(0) = 0 4 Ans. y(t) = - Ans. y - 3 3 4. y"+y = √2 sin √2 t, y(0) = 10, y'(0) = 0 Ans. y=10 cost + 2 sint -√√2 sin√√2t -1/2 1 5. 2y+3y"-3y¹-2y=e", y(0)=y'(0) = 0, y "(0)=1 8 9 + -4t 1 9 + 5 é + ½ e ²¹ 18 2
Transcribed Image Text:3. y"(t)+5y'(t)+4y(t) = 0, y(0) = 1, y'(0) = 0 4 Ans. y(t) = - Ans. y - 3 3 4. y"+y = √2 sin √2 t, y(0) = 10, y'(0) = 0 Ans. y=10 cost + 2 sint -√√2 sin√√2t -1/2 1 5. 2y+3y"-3y¹-2y=e", y(0)=y'(0) = 0, y "(0)=1 8 9 + -4t 1 9 + 5 é + ½ e ²¹ 18 2
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