In Problems 31 and 32, solve the given initial-value problem and give the largest interval I on which the solution is defined. dy 32. + 2(t + 1)y? = 0, y(0) = 8. dt 33. (a) Without solving, explain why the initial-value problem dy
In Problems 31 and 32, solve the given initial-value problem and give the largest interval I on which the solution is defined. dy 32. + 2(t + 1)y? = 0, y(0) = 8. dt 33. (a) Without solving, explain why the initial-value problem dy
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Author:Bruce Crauder, Benny Evans, Alan Noell
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![In Problems 31 and 32, solve the given initial-value problem
and give the largest interval I on which the solution is defined.
dy
32.
+ 2(t + 1)y² = 0, y(0)
8.
dt
33. (a) Without solving, explain why the initial-value problem
dy
Vy, y(xo) = Yo»
dx
%3D
has no solution for yo < 0.
(b) Solve the initial-value problem in part (a) for yo > 0
and find the largest interval I on which the solution is
defined.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3c3883f2-8471-4e5e-bb95-98aa7b3782e5%2Ff7a94cc0-9df5-4ca8-8f06-ae7966f82681%2Fxo10jx_processed.jpeg&w=3840&q=75)
Transcribed Image Text:In Problems 31 and 32, solve the given initial-value problem
and give the largest interval I on which the solution is defined.
dy
32.
+ 2(t + 1)y² = 0, y(0)
8.
dt
33. (a) Without solving, explain why the initial-value problem
dy
Vy, y(xo) = Yo»
dx
%3D
has no solution for yo < 0.
(b) Solve the initial-value problem in part (a) for yo > 0
and find the largest interval I on which the solution is
defined.
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