2. Solve the following initial value problems: dy a) + 2y = 3, y(0) = 1 dt dy b) 10 + y = sin 0, 0>0, y(π/2) = 1 de e-t² - , x > -1, y(0) = 5 x+1 c) (x + 1)-2(x² + x)y=;
2. Solve the following initial value problems: dy a) + 2y = 3, y(0) = 1 dt dy b) 10 + y = sin 0, 0>0, y(π/2) = 1 de e-t² - , x > -1, y(0) = 5 x+1 c) (x + 1)-2(x² + x)y=;
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:2. Solve the following initial value problems:
dy
a) +2y= 3, y(0) = 1
dt
b) 10 +y = sin 0, 0>0, y(π/2) = 1
dy
de
et²
-₁, x > -1, y(0) = 5
x+1
c) (x +1) 2(x² + x)y =
dx
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