exact differential equation

Discussion in 'Math' started by PG1995, Nov 13, 2011.

  1. PG1995

    Thread Starter Active Member

    Apr 15, 2011
    753
    5
    Hi

    Please have a look on the attachment. It has my question there. Please help me with it. Thank you very much.

    Regards
    PG
     
  2. Zazoo

    Member

    Jul 27, 2011
    114
    43
    No, both terms (x^2y and g(y)) result from integrating the partial derivative ∂f/∂x.
    Since y was held constant, g(y) is the "constant" of integration for ∫∂x.
    After integrating ∂f/∂x to get f(x,y) you take ∂f/dy and set it equal to N to find g'(y). Then integrate to get g(y).
     
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