(a) Solve the following separable equations. (a1) y' = 2y² + ty², y(0) = 1 (a2) y' = ty (4-y), y(0) = yo > 0. 1+t (b) For equation in (a2), determine how the solution behaves ast → ∞.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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(a) Solve the following separable equations.
(a1) y' = 2y² + ty², y(0) = 1
(a2) y' = ty (4-y), y(0) = yo > 0.
1+t
(b) For equation in (a2), determine how the solution behaves ast → ∞.
Transcribed Image Text:(a) Solve the following separable equations. (a1) y' = 2y² + ty², y(0) = 1 (a2) y' = ty (4-y), y(0) = yo > 0. 1+t (b) For equation in (a2), determine how the solution behaves ast → ∞.
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