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.

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# Nonlinear nonhomogenous differential equations

Can you offer guidance or do you also need help?

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