(d) t³y + 4t²y=et, (e) ty' + (t+1)y=t, y(-1)=0, -1

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Needed to solved part D and E correctly in 30 minutes and get the thumbs up please show me neat and clean work
]Find the solution of each of the following initial value problems.
(a) y' - y = 2te²t,
(b) y' + 2y = te-2,
(c) ty' +2y=t²-t+1,
(d) t³y + 4t²y=et,
(e) ty' + (t+1)y=t,
y(0) = 1
y(1) = 0
y(1) =
y(-1) = 0,
y(In 2) = 1
-1 ≤t <0
Transcribed Image Text:]Find the solution of each of the following initial value problems. (a) y' - y = 2te²t, (b) y' + 2y = te-2, (c) ty' +2y=t²-t+1, (d) t³y + 4t²y=et, (e) ty' + (t+1)y=t, y(0) = 1 y(1) = 0 y(1) = y(-1) = 0, y(In 2) = 1 -1 ≤t <0
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