(a) y' - y = 2te²t, (b) y' + 2y = te-2t, (c) ty' +2y=t²-t+1, y(0) = 1 y(1) = 0 y(1) = //

Advanced Engineering Mathematics
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Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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.] Find the solution of each of the following initial value problems.
(a) y' - y = 2te²t
(b) y' + 2y = te-2t,
y(0) = 1
y(1) = 0
(c) ty' +2y=t²-t+1, y(1) =
(d) t³y + 4t²y = et,
y(-1) = 0,
(e) ty' + (t+1)y=t,
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-2t, y(0) = 1 y(1) = 0 (c) ty' +2y=t²-t+1, y(1) = (d) t³y + 4t²y = et, y(-1) = 0, (e) ty' + (t+1)y=t, y(In 2) = 1 -1 < t < 0
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