e.) Nine ot -2t Let y(t) be the solution of the IVD: y"-2y+y=te; y(0) =0, y'(0) = 1. Find the Laplace transforn Y(s) of and theh find the solution y(t). y(t), a.) Yes) = B-1 ( 542¥, y(t)= 3tet+ '/5e 245te?t b.) Yrs)= 6-1YS+2)= Ŝ-1)², Y(t)= /5et+43€ te -2- 3+S-2 -2t, C.) Y(S)= 3(5-)#2), y(t)=et(2-t)+Y3e (I+3t) 10 d) Y(S) = (5-11 (5+2]? +(S-11?, y(t) = Z=e t9 te+eot %3D e.) None of these
e.) Nine ot -2t Let y(t) be the solution of the IVD: y"-2y+y=te; y(0) =0, y'(0) = 1. Find the Laplace transforn Y(s) of and theh find the solution y(t). y(t), a.) Yes) = B-1 ( 542¥, y(t)= 3tet+ '/5e 245te?t b.) Yrs)= 6-1YS+2)= Ŝ-1)², Y(t)= /5et+43€ te -2- 3+S-2 -2t, C.) Y(S)= 3(5-)#2), y(t)=et(2-t)+Y3e (I+3t) 10 d) Y(S) = (5-11 (5+2]? +(S-11?, y(t) = Z=e t9 te+eot %3D e.) None of these
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
Answer the following question please.
![e.) Nine of
-2t
Let y(t) be the solution of the IVD: y"-2yty=te;
y(0) =0, y'(0) = 1. Find the Laplace transforn Y(s) of
and then find the solution y(t).
y(t),
-2t
a.) Yes) = B-1 ( 542¥, y(t)= 3tet+ /5e 245te?t
Ŝ-1)², Y(t)= /5et+43e te
-2-
b.) Yrs)= &-1YS+2)=
S+S-2
-2t,
C.) Y(S)= 3(5-)#2), y(t)=et(2-t)+ Y3e (I+3t)
10
d) Y(s) = 6-12(5+2)? +(S-11?, Y(t\ = =
%3D
e.) None of these](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5425df32-d62a-4a4c-84d1-e0b164743a05%2Fff1644e1-78ae-45dd-8bde-084dc663a59c%2F817r4fb_processed.jpeg&w=3840&q=75)
Transcribed Image Text:e.) Nine of
-2t
Let y(t) be the solution of the IVD: y"-2yty=te;
y(0) =0, y'(0) = 1. Find the Laplace transforn Y(s) of
and then find the solution y(t).
y(t),
-2t
a.) Yes) = B-1 ( 542¥, y(t)= 3tet+ /5e 245te?t
Ŝ-1)², Y(t)= /5et+43e te
-2-
b.) Yrs)= &-1YS+2)=
S+S-2
-2t,
C.) Y(S)= 3(5-)#2), y(t)=et(2-t)+ Y3e (I+3t)
10
d) Y(s) = 6-12(5+2)? +(S-11?, Y(t\ = =
%3D
e.) None of these
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