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

From Wikibooks, open books for an open world

From Wikibooks, open books for an open world

Jump to: navigation, search

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

- $N(t)=N_{0}e^{\lambda t}.\,$

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

For a Differential Equation of the form

- ${\frac {dN}{dt}}=\lambda N.$
- $\int {\frac {dN}{N}}=\lambda \int dt$
- $lnN=\lambda t+c$
- $N=e^{(}\lambda t+c)$
- $N(t)=N_{0}e^{\lambda t}.\,$

- This page was last edited on 25 February 2011, at 15:50.
- Text is available under the Creative Commons Attribution-ShareAlike License.; additional terms may apply. By using this site, you agree to the Terms of Use and Privacy Policy.