linear first order differential equations

Linear First Order Differential Equations

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) %}

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