Explore BrainMass
Share

# First order ordinary differential equation

This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

In order to solve differential equations, it is helpful to classify them as belonging to one or more categories. In this entry we will consider three common classes of first order
ordinary differential equations (ODEs): separable, exact and linear.
We will show how each class is defined.

© BrainMass Inc. brainmass.com March 21, 2019, 10:45 am ad1c9bdddf
https://brainmass.com/math/ordinary-differential-equations/first-order-ordinary-differential-equation-23866

#### Solution Preview

Please see the pdf file for a nicer layout

Separable
Consider an ODE of the form
dx/dt= f(x, t), (1)
where f(x, t) is some function of x and t. Equation 1 is called separable if we can write the function
f(x, t) as follows:
f(x, t) = h(t)/g(x) ,
where h(t) and ...

#### Solution Summary

This shows how to define three common classes of first order ordinary differential equations (ODEs): separable, exact and linear.

\$2.19