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Using the Laplace transform to solve the following initial value problem: y" + 4y = g(t), y(0) = 1, y'(0) = 1; where g(t) = sin (t) for 0 .

Using the Laplace transform to solve the following initial value problem: y" + 4y = g(t), y(0) = 1, y'(0) = 1; where g(t) = sin (t) for 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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Using the Laplace transform to solve the following initial value problem:

y''+4y=g(t), y(0)=1, y'(0)=1;

where g(t) = sin( t) for 0<=t<π and g(t)=0 for t>=π

Using the Laplace transform to solve the following initial value problem: y" + 4y = g(t), y(0) = 1, y'(0) = 1; where g(t) = sin (t) for 0 <t < T and g(t) = 0 for t > .
Transcribed Image Text:Using the Laplace transform to solve the following initial value problem: y" + 4y = g(t), y(0) = 1, y'(0) = 1; where g(t) = sin (t) for 0 <t < T and g(t) = 0 for t > .
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