46.1.1 problem 6

Internal problem ID [7291]
Book : ADVANCED ENGINEERING MATHEMATICS. ERWIN KREYSZIG, HERBERT KREYSZIG, EDWARD J. NORMINTON. 10th edition. John Wiley USA. 2011
Section : Chapter 5. Series Solutions of ODEs. Special Functions. Problem set 5.1. page 174
Problem number : 6
Date solved : Monday, January 27, 2025 at 02:49:47 PM
CAS classification : [_separable]

\begin{align*} \left (1+x \right ) y^{\prime }&=y \end{align*}

Using series method with expansion around

\begin{align*} 0 \end{align*}

✓ Solution by Maple

Time used: 0.001 (sec). Leaf size: 10

Order:=6; 
dsolve((1+x)*diff(y(x),x)=y(x),y(x),type='series',x=0);
 

\[ y = \left (x +1\right ) y \left (0\right ) \]

✓ Solution by Mathematica

Time used: 0.001 (sec). Leaf size: 9

AsymptoticDSolveValue[(1+x)*D[y[x],x]==y[x],y[x],{x,0,"6"-1}]
 

\[ y(x)\to c_1 (x+1) \]