Engineering Board Exam Reviewer · Exact Differential Equations · easy

Determine whether (3x2+2y),dx+(2x+3y2),dy=0 is exact.

  1. Yes, it is exact
  2. No, it is not exact
  3. It is separable but not exact
  4. It is linear but not exact

Answer

A. Yes, it is exact

Solution

With M=3x2+2y and N=2x+3y2: M/ y=2 and N/ x=2. Since these are equal, the equation is exact.

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