Hello team PF! I have been out of touch from calculus for quite a while and have been trying to solve a differential equation which I believe is nonlinear and non-homogenous. Haven't found any thread much relevant here, so I need this new one. The problem is as follows:(adsbygoogle = window.adsbygoogle || []).push({});

-(d^{2}u)/(dx^{2}) + γ*u du/dx=f(x), on the interval 0≤ x ≤ 1,

- subject toDirichlet Boundary conditionsu(0)=0, u(1)=1

- the constant γ = 10.

- f(x) = (x^{2}+ 3*x) e^{x}+ γ*(x^{4}- 2*x^{2}= 3*x) e^{2x}

I need you guys to help me solve this analytically using any appropriate method. You may ignore f(x) and consider a simpler function, but do keep it nonhomogenous. I have tried but either I go on and on in pages or just can't go further . Please help me out.

Any suggestions, if not complete, are most welcome. Thanks in advance.

**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!

# Nonlinear nonhomogenous differential equations

Can you offer guidance or do you also need help?

Draft saved
Draft deleted

Loading...

Similar Threads - Nonlinear nonhomogenous differential | Date |
---|---|

A Stability for a system of nonlinear ODEs | Tuesday at 3:34 PM |

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

A Numerical solution for a two dimensional 3rd order nonlinear diff. eq. | Jan 17, 2018 |

A Nonhomogeneous second order nonlinear differential equations | Apr 11, 2016 |

Second order nonlinear nonhomogeneous differential equation | Nov 8, 2011 |

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