Verify that the indicated function is an explicit solution of the given differential equation. Assume an appropriate

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Verify that the indicated function is an explicit solution of the given differential equation. Assume an appropriate interval I of definition for each solution

1. 2y' + y = 0; y = e^-x/2

2. dy/dt + 20y = 24; y – 6/5 – 6/5 e^-20t

3. y'' – 6y' + 13y = 0; y = e^3x cos 2x

4. y'' + y = tan x; y = -(cos x) ln (sec x + tan x)

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A First Course in Differential Equations with Modeling Applications

ISBN: 978-1305965720

11th edition

Authors: Dennis G. Zill

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Question Posted: Jul 07, 2018 07:43 AM

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Verify that the indicated function is an explicit solution of the given differential equation. Assume an appropriate

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1 From y e 3x we obtain y 12e x2 Then 2y y e x2 e x2 0 2 From y 65 65e 20t we ...View the full answer

A First Course in Differential Equations with Modeling Applications

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