dy Solve the initial value problem: 4( sin(t)- + cos(t)y dt = cos(t) sin (t), 0 < t < T, y(T/2) = 18. %3D

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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dy
+ cos(t)y
dt
Solve the initial value problem: 4( sin(t)
cos(t) sin'(t),
0 < t < T, y(T/2) = 18.
y =
Transcribed Image Text:dy + cos(t)y dt Solve the initial value problem: 4( sin(t) cos(t) sin'(t), 0 < t < T, y(T/2) = 18. y =
Expert Solution
Step 1

Here the first order differential equation is given as:

4sinty'+costy=costsin7t0<t<π,   yπ2=18

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