Question is crazy! Hopefully it doesn't come up in exam...any help?

You are given the following two-point boundary value problem:

-(d/dx)(y*(e^x))+2y*(e^x)=(2-x)*(e^x), y(0)=y(1)=0

Simplify the equation and show that if the finite difference method is applied to the above problem, the resulting difference equation is:

-[(2-h)yi-1]+[4(1+h^2)yi]-[(2+h)yi+1]=2h^2(2-xi)

Re: Question is crazy! Hopefully it doesn't come up in exam...any help?

Why "crazy"? It looks pretty close to "easy" to me. Once you have applied the product rule to you can divide through by and the equation is very simple. I presume you know what a "finite difference method" is.

Re: Question is crazy! Hopefully it doesn't come up in exam...any help?

Re: Question is crazy! Hopefully it doesn't come up in exam...any help?