use the Laplace transform to solve the differential equation y"(t) + 4y(t) = h(t) with y(0) = 2 and y'(0) = 0 where: 0 si t 2 2m h(t)= -4t+8 si 0 < t <2m
use the Laplace transform to solve the differential equation y"(t) + 4y(t) = h(t) with y(0) = 2 and y'(0) = 0 where: 0 si t 2 2m h(t)= -4t+8 si 0 < t <2m
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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Question
![use the Laplace transform to solve the differential equation
y"(t) + 4y(t) = h(t) with y(0) = 2 and y'(0) = 0
where:
0
si t 2 2
h(t)=
-{
-4t+8
si 0 < t <2m](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F38f5bc31-e3cf-4500-8912-bec2c16f88fb%2Fbf31b3ce-01de-409c-8287-aa11deef585b%2Fd86qfl_processed.jpeg&w=3840&q=75)
Transcribed Image Text:use the Laplace transform to solve the differential equation
y"(t) + 4y(t) = h(t) with y(0) = 2 and y'(0) = 0
where:
0
si t 2 2
h(t)=
-{
-4t+8
si 0 < t <2m
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