Engineering Board Exam Reviewer · Variable Separable Equations · easy

Find the general solution of dy/dx=3x2y.

1. y = C ex3
2. y = C e3 x2
3. y = C + ex3
4. y = C x3

Answer

A. y = C ex3

Solution

Separate variables: dy/y=3x2,dx |y|=x3+c y=Cex3.

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