Recent content by Kak-Hazhar

Danke Clamtrox

yes that is exactly what i tried but got confused. i used 2m+n = k then m = 1/2·(k-n) and (2m+1)! --> (k+1-n)! and a_{n} \rightarrow a_{k-2m}

what's the substitution in the second series? give me a hint

\sum_{n=2}^{\infty}n(n-1)a_{n}t^{n-2} + \sum_{m=0}^{\infty}\frac{(-1)^{m}t^{2m} }{(2m+1)!}\sum_{n=0}^{\infty}a_{n}t^{n} \Leftrightarrow \sum_{n=0}^{\infty}(n+2)(n+1)a_{n+2}t^{n} + \sum_{^{m=0}_{n=0}}^{\infty}\frac{(-1)^{m}t^{2m+n} }{(2m+1)!}a_{n} i know how to shift series and add...

Well this is how far i get: Using that \frac{\sin t}{t} = \sum_{n=0}^{\infty}\frac{(-1)^{n} t^{2n} }{(2n+1)!} for t≠0 i rewrite tx''+sint x =0 as (\aleph); x'' + \frac{\sin t}{t}x = 0 Ansats: x(t) = \sum_{n=0}^{\infty}a_{n}t^{n} then x''(t) =...

Homework Statement using the fact that \frac{sint}{t} = \sum^{}_{n=0}\frac{ (-1)^{n} t^{2n}}{(2n+1)!} i wanted to write: using that sint/t = ∑ (-1)ⁿ·t²ⁿ/(2n+1)! find a power series solution of the equation tx'' +sint x = 0 Homework Equations sorry i pushed the wrong button,The Attempt at a...

Hi you seem to know LaTeX. I know this forum supports LaTeX and it's nice, but i want learn LaTeX, so what is your best advice, i.e. what LaTeX programs are good for writing Lab-reports? another question I've got is, do you write the code for every expression or do you use the forum help...

obviously i suck at LateX

Homework Statement find the subnormal using Descartes normal method. Homework Equations f\left( x \right)\; =\; \frac{1}{x},\; The Attempt at a Solution i get an 4th degree equation in x! however this is my first post and i really wanted to try the LateX thing. first time. Homework...