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Find the general solution of the given differential equation, and use it to determine how solutions behave as t → ∞. 8y' + y = 8t² NOTE: Use c for the constant of integration. y = Solutions converge to the function y =

Find the general solution of the given differential equation, and use it to determine how solutions behave as t → ∞. 8y' + y = 8t² NOTE: Use c for the constant of integration. y = Solutions converge to the function y =

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Find the general solution of the given differential equation, and use it to determine how solutions behave as t → ∞. 8y' + y = 8t² NOTE: Use c for the constant of integration. y = Solutions converge to the function y =
Transcribed Image Text:Find the general solution of the given differential equation, and use it to determine how solutions behave as t → ∞. 8y' + y = 8t² NOTE: Use c for the constant of integration. y = Solutions converge to the function y =
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