Calculus Course/Differential Equations/1st Order Differential Equations

1st Order Differential EquationsEdit

A 1st order differential equation has the form shown below

 

It can be shown that roots o the differential equation above is

 
 

ProofEdit

The above equation can be rewritten as

 

Then

 
 
 
 
 

SummaryEdit

First ordered differential equation of the form

 

has a exponential root of the form

 

where

 
 

or