#4 only 3. y"(t)+5y'(t)+4y(t) = 0, y(0) = 1, y'(0) = 04Ans. y(t)=-Ans. y-334. y"+y = √2 sin √2 t, y(0) = 10, y'(0) = 0Ans. y=10 cost + 2 sint -√√2 sin√√2t-1/215. 2y+3y"-3y¹-2y=e",y(0)=y'(0) = 0, y "(0)=189+-4t19+5é + ½ e ²¹18 2

The given problem is to find the solution for the given non homogeneous linear differential…

Answered: 4. y"+y = √2 sin √√2 t, y(0) = 10,…

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4. y"+y = √2 sin √√2 t, y(0) = 10, y'(0) = 0 Ans. y = 10 cost + 2 sint-√√2 sin √√2t

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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Question

#4 only

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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