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Q. 29

Found in: Page 570


Book edition 1st
Author(s) Peter Kohn, Laura Taalman
Pages 1155 pages
ISBN 9781429241861

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Short Answer

Use antidifferentiation and/or separation of variables to solve each of the initial-value problems in Exercises 29–52.

29. dydx=3y, y0=4

The answer is yx=4e3x

See the step by step solution

Step by Step Solution

Step 1. Given information

We have been given dydx=3y, y0=4

Step 2. Solve using antidifferentiation and/or variable separable method.

The differential equation can be solved by antidifferentiating.

1ydy=3dxlny=3x+Cy=e3x+Cy=Ae3x ec=A

Now put y0=4,


So, the answer is y=4e3x

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