Internal
problem
ID
[12977]
Book
:
An
elementary
treatise
on
differential
equations
by
Abraham
Cohen.
DC
heath
publishers.
1906
Section
:
Chapter
VIII,
Linear
differential
equations
of
the
second
order.
Article
54.
Change
of
independent
variable.
Page
127
Problem
number
:
Ex
5
Date
solved
:
Tuesday, January 28, 2025 at 04:46:08 AM
CAS
classification
:
[[_2nd_order, _linear, _nonhomogeneous]]
✓ Solution by Maple
Time used: 0.013 (sec). Leaf size: 30
dsolve(x*diff(y(x),x$2)-(2*x^2+1)*diff(y(x),x)-8*x^3*y(x)=4*x^3*exp(-x^2),y(x), singsol=all)
✓ Solution by Mathematica
Time used: 0.075 (sec). Leaf size: 38
DSolve[x*D[y[x],{x,2}]-(2*x^2+1)*D[y[x],x]-8*x^3*y[x]==4*x^3*Exp[-x^2],y[x],x,IncludeSingularSolutions -> True]