Recent content by Fuzedmind

Ok thanks a bunch man. I did that and it worked out for me too.

no y(0) = 0 and y(1) = 1, I am looking at it right now

I kind of understand what you're saying, but could you try being a little more specific? I am terrible with series.

Homework Statement Solve the initial value problem y'' = y' + y where y(0) = 0 and y(1) = 1 derive the power series solution y(x) = \ \ \sum_{n=1}^{\infty}{(F_{n}x^n)/n!} \ \ where {Fn} is the sequence 0,1,1,2,3,5,8,13... of Fibonacci numbers defined by F0 = 0 and F1 = 1 Homework...

\ \ \sum_{n=0}^{\infty}{(n+2)(n+1)c_{n+2}x^n} \ \ + \ \ \sum_{n=0}^{\infty}{c_{n}x^n} \ \ = x Here it is in the non-retarded version

I'm a newb and don't know how to use this website, so here goes: SUM[ (n+2)(n+1)cn+2xn] + SUM[cnxn] = x

Homework Statement Solve this equation using power series: y'' + y = x Homework Equations none The Attempt at a Solution I am confused about the x on the RHS of the equation. If the equation was y'' + y = 0, I would have no problem solving it. I am just a little confused...

Well I did that, and they started cancelling, and I got (1 - 1/3) + (1/2 - 1/4) + (1/3 - 1/5) + (1/4 - 1/6) + (1/5 - 1/7) I canceled the 1/3, 1/4, and the 1/5 out, but where do I go from there? Sorry I am kind of retarted

Homework Statement The problem asks me to express the sum of the series as a telescoping sum, then find whether it is convergent or divergent. Ok, I get that and how it works and all, but the examples they give in the book are stupid and i on spring break this week so no office hours for...