# Explicit/implicit solutions

Find an explicit or implicit solutions to the differential equation:

(x^2 + 4xy)dx + xdy = 0

"F(x,y) such that the solutions are F(x,y)=c for an arbitrary constant c".

Â© BrainMass Inc. brainmass.com February 24, 2021, 2:30 pm ad1c9bdddfhttps://brainmass.com/math/calculus-and-analysis/explicit-implicit-solutions-25537

#### Solution Preview

See attachment

Find an explicit or implicit solutions to the differential equation:

(x^2 + 4xy)dx + xdy = 0

"F(x,y) such that the solutions are F(x,y)=c for an arbitrary constant c".

Solution. Since (x^2 + 4xy)dx + xdy = 0, we have

...

#### Solution Summary

This shows how to find solutions to a differential equation.

$2.19