• anonymous
Use power series to solve the differential equation $y''+xy'+y=0$ $y=\sum_{n=0}^{\infty} a_n x^n$ $y'=\sum_{n=1}^{\infty}a_nnx^{n-1}$ $y''=\sum_{n=2}^{\infty} n(n-1)a_nx^{-2}$ $xy'=\sum_{n=1}^{\infty}a_nnx^n$ $\sum_{n=2}^{\infty} n(n-1)a_nx^{-2}+\sum_{n=1}^{\infty}a_nnx^n+\sum_{n=0}^{\infty} a_n x^n=0$
Mathematics

Looking for something else?

Not the answer you are looking for? Search for more explanations.