Hi everybody,(adsbygoogle = window.adsbygoogle || []).push({});

How do I solve this differential equation ??:

y'' = a(Exp(-b*y)-1) ;

where a, b are constants

with the boundaries conditions :

y'(x=0)=-K1

y'(x=L)=0

without the constant term I can do

y''*y' = y' a Exp(-b y)

then integrate it

[tex]\ {1/2} (y')^2= {a/b} ~Exp(-b y)[/tex]

and so on and finaly find something in hyperbolic function Tanh()....

but With the constant term " -a " on the right side, I don't know how to start.

Thank very much for your help

**Physics Forums - The Fusion of Science and Community**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# 2nd order with exponential and constant on right side

Loading...

Similar Threads for order exponential constant | Date |
---|---|

I A common 2nd order ODE from dynamics but... | Feb 28, 2018 |

A Solve a non-linear ODE of third order | Feb 20, 2018 |

Let f(t) be piecewise continuous and of exponential order | May 3, 2015 |

First order DE with exponential | Sep 22, 2009 |

How to solve 2nd order non-linear DE with exponential | Apr 24, 2009 |

**Physics Forums - The Fusion of Science and Community**