Solve the initial value problem for t> -1 with y(0) = 2. Put the problem in standard form. Then find the integrating factor, p(t) and finally find y(t) = Cu|if = - +- (t+1) 16 1 (t+1) + -³ 2 (t+1) 8(t+1) dy dt 6y = 12t,

Advanced Engineering Mathematics
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Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Solve the initial value problem
for t> -1 with y(0) = 2.
Put the problem in standard form.
Then find the integrating factor, p(t)
and finally find y(t)
=
Cu|if
=
- +-
(t+1)
16
1 (t+1) +
-³
2
(t+1)
8(t+1)
dy
dt
6y = 12t,
Transcribed Image Text:Solve the initial value problem for t> -1 with y(0) = 2. Put the problem in standard form. Then find the integrating factor, p(t) and finally find y(t) = Cu|if = - +- (t+1) 16 1 (t+1) + -³ 2 (t+1) 8(t+1) dy dt 6y = 12t,
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