a + by(t) = f(t), dy(t) dt (a) Solve this equation for a = 1, b = 3 and f(t) = 10a? (b) Solve this equation for a = 1, b = 0 and f(t)= e-t² ? (c) Solve this equation for a = 1. b = 2 and f(t) = y². y(0) = 2.

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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Q.1.2
a + by(t) = f(t),
dy(t)
dt
(a) Solve this equation for a = 1, b = 3 and f(t) = 10a ?
(b) Solve this equation for a = 1, b = 0 and f(t) = e-t² ?
(c) Solve this equation for a = 1. b = 2 and f(t) = y².
y (0) = 2.
Transcribed Image Text:Q.1.2 a + by(t) = f(t), dy(t) dt (a) Solve this equation for a = 1, b = 3 and f(t) = 10a ? (b) Solve this equation for a = 1, b = 0 and f(t) = e-t² ? (c) Solve this equation for a = 1. b = 2 and f(t) = y². y (0) = 2.
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