Engineering Board Exam Reviewer · Exact Differential Equations · medium

Solve (y x+2xey),dx+( x+x2ey-1),dy=0.

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

Answer

A. x2 ey + y x - y = C

Solution

My= x+2xey=Nx. F= (y x+2xey),dx=y x+x2ey+g(y) and Fy= x+x2ey+g'= x+x2ey-1 g=-y. Solution: y x+x2ey-y=C.

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