7. Solve the following (a) ty' - ty = t², (b) y' + 2y = 3et (b) y' + y = IVPS. y(0) = 1 y(0) = -3 y(1) = 1

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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please solve it on paper

 

the answer based on the answer key should be :

a. ?(?)=−?+2?? −1

b. ?(?) = ?? − 4?−2?

c. ?(?) = (ln(?)+1 )/ t

7. Solve the following IVPS.
(a) ty' — ty = t²,
(b) y' + 2y = 3et
(b) y' + y =
y(0) = 1
y(0) = −3
y(1) = 1
Transcribed Image Text:7. Solve the following IVPS. (a) ty' — ty = t², (b) y' + 2y = 3et (b) y' + y = y(0) = 1 y(0) = −3 y(1) = 1
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