For the following problems use the Laplace transform to solve the given equations. Note that you must use the Laplace transform method and not any other ODE method. 1 y 2y+y=e,y(0) = 0,y (0) = 5. y -8y + 20y = te,y(0) = 0,y (0) = 0. y - 5y = f(t), y(0) = 1 where f(t) = { ², if Ost<1 ' 0, if t≥1 For problems 7-14, use the Laplace transform to solve the given equations. Note that you will not receive any credits if you use other methods. 7. y"-2y+yet, y(0) = 0, y'(0) = 5. 8. y" -8y+20y=te, y(0) = 0, y'(0) = 0. 9. y' 5y = f(t), y(0) = 1 where if 0
For the following problems use the Laplace transform to solve the given equations. Note that you must use the Laplace transform method and not any other ODE method. 1 y 2y+y=e,y(0) = 0,y (0) = 5. y -8y + 20y = te,y(0) = 0,y (0) = 0. y - 5y = f(t), y(0) = 1 where f(t) = { ², if Ost<1 ' 0, if t≥1 For problems 7-14, use the Laplace transform to solve the given equations. Note that you will not receive any credits if you use other methods. 7. y"-2y+yet, y(0) = 0, y'(0) = 5. 8. y" -8y+20y=te, y(0) = 0, y'(0) = 0. 9. y' 5y = f(t), y(0) = 1 where if 0
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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Transcribed Image Text:For the following problems use the Laplace transform to solve the given equations. Note that you must use the Laplace
transform method and not any other ODE method.
1
y 2y+y=e,y(0) = 0,y (0) = 5. y -8y + 20y = te,y(0) = 0,y (0) = 0. y - 5y = f(t), y(0) = 1 where f(t) = {
², if Ost<1
'
0, if t≥1
For problems 7-14, use the Laplace transform to solve the given equations. Note that you will not
receive any credits if you use other methods.
7. y"-2y+yet, y(0) = 0, y'(0) = 5.
8. y" -8y+20y=te, y(0) = 0, y'(0) = 0.
9. y' 5y = f(t), y(0)
= 1 where
if 0<t<1,
f(t) =
if t≥ 1.
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