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


Summary[edit | edit source]

First ordered differential equation of the form

has a exponential root of the form