(B Using the Laplace transform, resolve the following differential equation: y' - y = r(t) with initial condition: y(0) = 1 where the function () has the following shape: r() = (0 Ost<2 122

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Using the Laplace transform, resolve the following initial value problem:
y" + 4y = 0
with conditions:
y(0) = 1
y) = 2
(B
Using the Laplace transform, resolve the following differential equation:
y'-y = f()
with initial condition:
y(0) = 1
where the function () has the following shape:
Ost< 2
re) =
Transcribed Image Text:Using the Laplace transform, resolve the following initial value problem: y" + 4y = 0 with conditions: y(0) = 1 y) = 2 (B Using the Laplace transform, resolve the following differential equation: y'-y = f() with initial condition: y(0) = 1 where the function () has the following shape: Ost< 2 re) =
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