Internal problem ID [4870]
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.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_separable]
Solve \begin {gather*} \boxed {\left (x +1\right ) y^{\prime }-y=0} \end {gather*} With the expansion point for the power series method at \(x = 0\).
✓ Solution by Maple
Time used: 0.016 (sec). Leaf size: 11
Order:=6; dsolve((1+x)*diff(y(x),x)=y(x),y(x),type='series',x=0);
\[ y \relax (x ) = y \relax (0) \left (x +1\right ) \]
✓ Solution by Mathematica
Time used: 0.001 (sec). Leaf size: 9
AsymptoticDSolveValue[(1+x)*y'[x]==y[x],y[x],{x,0,5}]
\[ y(x)\to c_1 (x+1) \]