4. y"+y = √2 sin √√2 t, y(0) = 10, y'(0) = 0 Ans. y = 10 cost + 2 sint-√√2 sin √√2t
4. y"+y = √2 sin √√2 t, y(0) = 10, y'(0) = 0 Ans. y = 10 cost + 2 sint-√√2 sin √√2t
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
#4 only
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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Hi! Please use laplace transform to solve the given (#4) initial value problem, thank you.
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