Need help with parts d and f.
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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Need help with parts d and f. Thank you.

Transcribed Image Text:1.
Solve the following (first order & linear!) differential equations:
a) dy+2y(x) = 2e-*
b) du -2 y(x) + (1+x²)²
c) dy+ay(x) = b sin(wx)
d) x²y' - 4xy = x³ sin(x), x>0
(a, b, w are constants.)
e) y' - 2y = f(x), y(0) = 1, where f(x)
f) sin(x)y' + y cos(x) = sin(2x), y(π/2) = 3
=
1- x,
0,
if x < 1
if x ≥ 1
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