3. Consider the initial value problem (IVP): ty' — y = t²e-t, y(1) = −1. (a) Use integrating factor to so the IVP and (b) Determine how its solution behaves as t → ∞.

Calculus: Early Transcendentals
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Chapter1: Functions And Models
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3. Consider the initial value problem (IVP): ty' - y = t²e-t, y(1) = −¹. (a) Use integrating factor to solve
the IVP and (b) Determine how its solution behaves as t → ∞.
Transcribed Image Text:3. Consider the initial value problem (IVP): ty' - y = t²e-t, y(1) = −¹. (a) Use integrating factor to solve the IVP and (b) Determine how its solution behaves as t → ∞.
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