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Find the general solution of the given differential equation, and use it to determine how solutions behave as t→∞. Y y + = 4 cos(3t), t> 0 t NOTE: Use c for the constant of integration. y = 4 (3 t sin(3 t) + cos(3 t)) C + 9 t t Solutions converge to the function y = X

Find the general solution of the given differential equation, and use it to determine how solutions behave as t→∞. Y y + = 4 cos(3t), t> 0 t NOTE: Use c for the constant of integration. y = 4 (3 t sin(3 t) + cos(3 t)) C + 9 t t Solutions converge to the function y = X

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→∞. y' + y = Y = t NOTE: Use c for the constant of integration. 4 cos(3t), t> 0 4 (3 t sin(3 t) + cos(3 t)) 9 t + с t Solutions converge to the function y = X
Transcribed Image Text:Find the general solution of the given differential equation, and use it to determine how solutions behave as t→∞. y' + y = Y = t NOTE: Use c for the constant of integration. 4 cos(3t), t> 0 4 (3 t sin(3 t) + cos(3 t)) 9 t + с t Solutions converge to the function y = X
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