Engineering Board Exam Reviewer · Exact Differential Equations · medium

Find the value of k for which (3x2y+ky3),dx+(x3+9xy2),dy=0 is exact.

  1. 9
  2. 6
  3. 1
  4. 3

Answer

D. 3

Solution

Exactness requires M/ y= N/ x: 3x2+3ky2=3x2+9y2 k=3.

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