Engineering Board Exam Reviewer · Variable Separable Equations · medium

Solve: (x2+1),dy=xy,dx

  1. y=Csqrt(x2+1)
  2. y=C(x2+1)
  3. y= Csqrt(x2+1)
  4. y=Cx2+1

Answer

A. y=Csqrt(x2+1)

Solution

dy/y=x,dx/x2+1 |y|= 12 (x2+1)+C1 y=Csqrt(x2+1).

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