2.4.3 Problem 3

2.4.3.1 Solution using Frobenius series method
2.4.3.2 Maple
2.4.3.3 Mathematica
2.4.3.4 Sympy
Data Base ID : [10348]
Book : First order enumerated odes
Book section : section 4. First order odes solved using series method
Book problem number : 3
The problem :
\[ \begin {array}{>{\displaystyle }r @{\;} >{\displaystyle }l} x y^{\prime }+y&=0\\ y \left (0\right )&=1\\ \end {array} \]

Series expansion around \(x=0\).

Date solved : Monday, June 15, 2026 at 03:57:39 PM
CAS classification : [_separable]
Output folder : 9072_Friday_May_02_2025_12_32_23_AM_3788059

\[\begin {aligned} y^{\prime } x +y&=0\\ y \left (0\right ) &= 1\\ \end {aligned}\]

Series expansion around \(x=0\).