Engineering Board Exam Reviewer · Variable Separable Equations · medium

Find the general solution of xdy/dx=1+y.

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

Answer

A. y = C x - 1

Solution

dy/1+y=dx/x |1+y|= |x|+c 1+y=Cx y=Cx-1.

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