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Solve each of the following differential equations: (a) f'(t)-f(t) = 2 where f(0) = 0 (b) f'(t) + f(t) = et where f(0) = 0 (c) f'(t) + f(t) = 3 where f(0) = -2 (d) f'(t) = f(t) = e2t where f(0) = = 1 (e) 3f'(t) - 2f (t) = 4et + 2 where f(0) = 0

Solve each of the following differential equations: (a) f'(t)-f(t) = 2 where f(0) = 0 (b) f'(t) + f(t) = et where f(0) = 0 (c) f'(t) + f(t) = 3 where f(0) = -2 (d) f'(t) = f(t) = e2t where f(0) = = 1 (e) 3f'(t) - 2f (t) = 4et + 2 where f(0) = 0

Advanced Engineering Mathematics
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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Solve each of the following differential equations: (a) f'(t)-f(t) = 2 where f(0) = 0 (b) f'(t) + f(t) = et where f(0) = 0 (c) f'(t) + f(t) = 3 where f(0) = -2 (d) f'(t) − f (t) = e²t where f(0) = 1 (e) 3f'(t) — 2f (t) = 4e¯t + 2 where f(0) = 0
Transcribed Image Text:Solve each of the following differential equations: (a) f'(t)-f(t) = 2 where f(0) = 0 (b) f'(t) + f(t) = et where f(0) = 0 (c) f'(t) + f(t) = 3 where f(0) = -2 (d) f'(t) − f (t) = e²t where f(0) = 1 (e) 3f'(t) — 2f (t) = 4e¯t + 2 where f(0) = 0
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