(d) y' = 3y + e-t cos(2t)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Please help with 2.13 part d

2.13: Find the general solutions to the following differential equations:
(a) y' = 2y + 2e' + t²
%3D
(b) y = ay + eat where a is a constant
%3|
(c) ty' + y = e'
66
CHAPTER 2. SOLVING FIRST-ORDER EQUATIONS
(d) y' = 3y + e¯' cos(2t)
(e) y = -y + 2 sin (t)
Transcribed Image Text:2.13: Find the general solutions to the following differential equations: (a) y' = 2y + 2e' + t² %3D (b) y = ay + eat where a is a constant %3| (c) ty' + y = e' 66 CHAPTER 2. SOLVING FIRST-ORDER EQUATIONS (d) y' = 3y + e¯' cos(2t) (e) y = -y + 2 sin (t)
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