Calculus Course/Differential Equations/1st Order Differential Equations
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1st Order Differential Equations[edit | edit source]
A 1st order differential equation has the form shown below
It can be shown that roots o the differential equation above is
Proof[edit | edit source]
The above equation can be rewritten as
Then
Summary[edit | edit source]
First ordered differential equation of the form
has a exponential root of the form
where
or