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 | Science Articles, Homework Help, Discussion**

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

**Physics Forums | Science Articles, Homework Help, Discussion**