## Quick Reference

A first-order differential equation *dy*/*dx*=*f*(*x*, *y*) in which the function *f* can be expressed as the product of a function of *x* and a function of *y*. The differential equation then has the form *dy*/*dx*=*g*(*x*)*h*(*y*), and its solution is given by the equation

where *c* is an arbitrary constant.

*Subjects:*
Mathematics.