Engineering Board Exam Reviewer · Variable Separable Equations · medium

Solve y'=y2, given y(0)=1.

1. y=1/1-x
2. y=1/1+x
3. y=ex
4. y=x+1

Answer

A. y=1/1-x

Solution

dy/y2=dx - 1y=x+C1. Using y(0)=1: C1=-1, so - 1y=x-1 y=1/1-x.

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