# exact differential equation

#### PG1995

Joined Apr 15, 2011
818
Hi

Regards
PG

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#### Zazoo

Joined Jul 27, 2011
114
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).