Overview
A first order differential equation involves only the first derivative of the modeled variable. In its general form, it can be written simply as
{% a(t) \frac{dy(t)}{dt} + b(t)y(t) = c(t) %}
by dividing by {% a(t) %} we get
{% \frac{dy}{dx} + p(x)y = f(x) %}
Methods of Solution
- Separable Equations
{% \frac{dy}{dx} = g(x)h(y) %}
- Integrating Factor
Numeric Methods
- Euler
- can be used to solve simple problems
{% \frac{dy(x)}{dx} = f(x,y) %}