Engineering Board Exam Reviewer · Linear First-Order Differential Equations · medium

Find the general solution of dy/dx+y x= x.

1. y = C x + x2
2. y = C x + x2
3. y = C x + x2
4. y = C x + x

Answer

C. y = C x + x2

Solution

The integrating factor is e x,dx= x: d/dx(y x)= x x y x= 2x/2+C y= x/2+C/ x.

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