(a) Solve the differential equation in Problem 1(d) for 0 ≤ t≤ 1 where y(0) = 0. (b) Find the general solution of the differential equation in Problem 1(d) for t > 1. (d). y' + 2y = g(t), y(0) = 0, where g(t) = 1, 0 ≤t≤1 0, t > 1

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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(a) Solve the differential equation in Problem 1(d) for 0 ≤ t≤ 1 where y(0) = 0.
(b) Find the general solution of the differential equation in Problem 1(d) for t > 1.
Transcribed Image Text:(a) Solve the differential equation in Problem 1(d) for 0 ≤ t≤ 1 where y(0) = 0. (b) Find the general solution of the differential equation in Problem 1(d) for t > 1.
(d). y' + 2y = g(t), y(0) = 0, where g(t)
=
1, 0 ≤t≤1
0,
t > 1
Transcribed Image Text:(d). y' + 2y = g(t), y(0) = 0, where g(t) = 1, 0 ≤t≤1 0, t > 1
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