Use the least squares collocation method with power law basis funcitons x^n (n =

Question

Use the least squares collocation method with power law basis funcitons x^n (n = 0,1,2,3,4,5) to solve the following second order diferential equaiton

(1+3x2)d2fdx2+4xdfdx+9f(x)=2+4sin(pi?x)

from (0

with boundary condition s

f(0) = 1

f(6) = 7

ok I don't need it to be solved per say, I don't understand differentials, but apparently this can be solved with matrix operations and I can do that, so what i need to get the values for f(x) is construct and operate on a number of matrices. What I need to know is

1) what is a basis function, and what am i supposed to do with it?

2) what matrices do i need to construct and How do i construct them?

3) how do i use those matrices to obtain a f(x) value

4)what am i to do with those damn boundary conditions

Walk me through WHAT I NEED TO DO

Explanation / Answer

i think the question is not diplayed coreectly..

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