Engineering Board Exam Reviewer · Variable Separable Equations · medium

Find the general solution of (1+x2)dy/dx=xy.

1. y = C ≤ft(x2 + 1 )
2. y = C ≤ft(x2 + 1 )
3. y = C + x2 + 1
4. y = C x2 + 1

Answer

D. y = C x2 + 1

Solution

dy/y=x,dx/1+x2 |y|= 12 (1+x2)+c y=Csqrt(1+x2).

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