Separable Differential Equations

A separable differential equation is a type of first-order differential equation where the derivative dy/dx can be expressed as a product of two functions: one that depends only on x and another that depends only on y. This allows for the rearrangement of the equation so that all terms involving y are on one side, and all terms involving x are o...

A separable equation is a first-order differential equation that can be split into two independent parts—one containing only x and the other only y.

The y terms are placed on one side and the x terms on the other, allowing separate integration.

For example, consider a hot cup of tea cooling in a room.