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Chapter 6: Q. 34 (page 570)

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

34.dydx=1y,y0=3

Short Answer

Expert verified

The answer is yx=2x+9

Step by step solution

01

Step 1. Given information

We have been givendydx=1y,y0=3

02

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

The differential equation can be solved by antidifferentiating.

鈭�ydy=鈭�dx12y2=x+C1y2=2x+C(2C1=C)

Now put y0=3,

32=20+C9=C

So,

y2=2x+9y=2x+9

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