Solve the initial value problem y' + y = g(t), where 1, g(t) { 0, The solution should be continuous in (0, ∞). = y(0) = 0, 0 ≤ t ≤1 t> 1

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Ordinary differential equation

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Solve the initial value problem
y' + y = g(t),
where
1,
g(t)
{
0,
The solution should be continuous in (0, ∞).
=
y(0) = 0,
0 ≤ t ≤1
t> 1
Transcribed Image Text:Solve the initial value problem y' + y = g(t), where 1, g(t) { 0, The solution should be continuous in (0, ∞). = y(0) = 0, 0 ≤ t ≤1 t> 1
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