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Chapter 6: Q. 29 (page 570)

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

29. dydx=3y,y0=4

Short Answer

Expert verified

The answer isyx=4e3x

Step by step solution

01

Step 1. Given information

We have been givendydx=3y,y0=4

02

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

The differential equation can be solved by antidifferentiating.

鈭�1ydy=鈭�3dxlny=3x+Cy=e3x+Cy=Ae3xec=A

Now put y0=4,

4=Ae304=A

So, the answer isy=4e3x

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