dy +y = sin (;) cos t, %3D dt2
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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Transcribed Image Text:4. Let y(t) be the solution of the following differential equation:
dy
+ y = sin () cos t,
please answer the following questions:
(a)
„Find the homogeneous solution ya(t) of the differential equation.
(b)
Find a particular solution yp(t) of the differential equation.
Find the solution y(t) of the differential equation with the condition
(c)
d
y(t = 0) = 1, y(t 0) 1.
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