# First order ordinary differential equation

Not what you're looking for?

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.

##### Purchase this Solution

##### Solution Summary

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

##### 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 ...

##### Purchase this Solution

##### Free BrainMass Quizzes

##### Exponential Expressions

In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.

##### Know Your Linear Equations

Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.

##### Solving quadratic inequalities

This quiz test you on how well you are familiar with solving quadratic inequalities.

##### Probability Quiz

Some questions on probability

##### Multiplying Complex Numbers

This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.