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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 → ∞.

(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 → ∞.

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.CR: Chapter 11 Review
Problem 12CR
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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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