It is not important to know one million digits of ##\pi##. We only need to know a few of the digits in the calculation. However, the video is interesting.
Homework Statement
Solve the following differential equations by series and also by an elementary method and verify that your solutions agree.
(x^2+2x)y''-2(x+1)y'+2y=0
Homework Equations
y=\sum_{n=0}^{\infty} a_nx^n
y'=\sum_{n=1}^{\infty} na_nx^{n-1}
y''=\sum_{n=1}^{\infty}...