Internal
problem
ID
[8312]
Book
:
DIFFERENTIAL
EQUATIONS
with
Boundary
Value
Problems.
DENNIS
G.
ZILL,
WARREN
S.
WRIGHT,
MICHAEL
R.
CULLEN.
Brooks/Cole.
Boston,
MA.
2013.
8th
edition.
Section
:
CHAPTER
6
SERIES
SOLUTIONS
OF
LINEAR
EQUATIONS.
CHAPTER
6
IN
REVIEW.
Page
271
Problem
number
:
10
Date
solved
:
Monday, January 27, 2025 at 03:48:41 PM
CAS
classification
:
[[_2nd_order, _exact, _linear, _homogeneous]]
Using series method with expansion around
✓ Solution by Maple
Time used: 0.011 (sec). Leaf size: 49
Order:=8; dsolve(diff(y(x),x$2)-x*diff(y(x),x)-y(x)=0,y(x),type='series',x=0);
✓ Solution by Mathematica
Time used: 0.001 (sec). Leaf size: 56
AsymptoticDSolveValue[D[y[x],{x,2}]-x*D[y[x],x]-y[x]==0,y[x],{x,0,"8"-1}]