finding terms of a power series solution of an IVP
Find the first six non-zero terms of the power series solution at
x = 0 of the following IVP.
So far I have:
supposing that is the power series solution I have solved for .
and from I have solved for
I have got first and second derivative of the sum and have plugged into the original equation and got:
But now I get confused as to what to do next to have the same power of x as what my sum begins with.
Can anyone tell me how I could break down my sums to solve for my 6 terms.