Engineering Board Exam Reviewer · Exact Differential Equations · medium

Solve (2xy+3),dx+(x2-1),dy=0.

  1. x2 y + 3 x + y = C
  2. x y2 + 3 x - y = C
  3. x2 y - y + 3 = C
  4. x2 y + 3 x - y = C

Answer

D. x2 y + 3 x - y = C

Solution

My=2x=Nx. F= (2xy+3),dx=x2y+3x+g(y) and Fy=x2+g'=x2-1 g=-y. Solution: x2y+3x-y=C.

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