# Arithmetic Course/Non Linear Function/Exponential function/Exponential growth

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## Exponential Growth[edit]

Exponential Growth function is a function that has the value growth exponentially

Which can be proven as the root of a Differential Equation of the form

## Proof[edit]

For a Differential Equation of the form

**Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "/mathoid/local/v1/":): {\displaystyle ln N = \lambda t + c }**