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Write down a linear homogenous differential equation (with the smallest order and constant coefficients) that has the solution y(t) = 5e + 5 sin(3t) + 5t.

Write down a linear homogenous differential equation (with the smallest order and constant coefficients) that has the solution y(t) = 5e + 5 sin(3t) + 5t.

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
Section11.1: Solutions Of Elementary And Separable Differential Equations
Problem 5E
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Write down a linear homogenous differential equation (with the smallest order and constant coefficients) that has the solution y(t) = 5e" + 5 sin(3t) + 5t.
Transcribed Image Text:Write down a linear homogenous differential equation (with the smallest order and constant coefficients) that has the solution y(t) = 5e" + 5 sin(3t) + 5t.
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