Engineering Board Exam Reviewer · Variable Separable Equations · hard

Find the general solution of x(y+1)dy/dx=y(x+1).

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

Answer

B. y + y = C + x + x

Solution

y+1/y,dy=x+1/x,dx ≤ft(1+ 1y )dy= ≤ft(1+ 1x )dx y+ y=x+ x+C.

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