Engineering Board Exam Reviewer · Exact Differential Equations · medium

Solve (ex y+3x2),dx+(ex y+2y),dy=0.

  1. x3 + 2 y + ex y = C
  2. x3 + y2 + ex y = C
  3. x3 + y2 + ex y = C
  4. 3 x2 + y2 + ex y = C

Answer

B. x3 + y2 + ex y = C

Solution

My=ex y=Nx. F= (ex y+3x2),dx=ex y+x3+g(y) and Fy=ex y+g'=ex y+2y g=y2. Solution: ex y+x3+y2=C.

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