Solve the initial value problem. (cos x) + y sin x = 5x cos²x x, dy dx The solution is y(x) = y 3π 4 = 51² √2 64

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Solve the initial value problem.
dy
2
cos x) + y sin x = 5x cos x,
dx
The solution is y(x) =
3π
(37)
4
y
=
51² √2
64
Transcribed Image Text:Solve the initial value problem. dy 2 cos x) + y sin x = 5x cos x, dx The solution is y(x) = 3π (37) 4 y = 51² √2 64
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Follow-up Questions
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Follow-up Question
Solve the initial value problem.
2
dy
(cos x) +y sinx=7x cos x,
dx
The solution is y(x)=0-
(³7) -
4
y
-31x² √2
64
Transcribed Image Text:Solve the initial value problem. 2 dy (cos x) +y sinx=7x cos x, dx The solution is y(x)=0- (³7) - 4 y -31x² √2 64
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