# Integrating Factors

Using: d tan^-1 (x/y)=(y dx - x dy)/(x^2 + y^2), and Â½ d ln(x^2 + y^2)=(x dx + y dy)/(x^2 + y^2) find integrating factors for, and solve, the following equation:

(2x^(2)y + 2y^3 - x) (dy/dx) + y=0

https://brainmass.com/math/integrals/integrating-factors-13775

#### Solution Preview

your tan^-1 (x/y) means tan(x/y). Then the formula

d tan^-1 (x/y)=(y dx - x ...

#### Solution Summary

This shows how to find integrating factors and solve an equation.

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