Engineering Board Exam Reviewer · Exact Differential Equations · medium

Solve ≤ft(1+yexy )dx+≤ft(2y+xexy )dy=0.

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

Answer

C. x + y2 + ex y = C

Solution

My=exy+xyexy=Nx. F= (1+yexy),dx=x+exy+g(y) and Fy=xexy+g'=2y+xexy g=y2. Solution: x+y2+exy=C.

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