2.43 problem 42

Internal problem ID [7827]
Book : Own collection of miscellaneous problems
Section : section 2.0
Problem number : 42
Date solved : Monday, October 21, 2024 at 04:23:59 PM
CAS classification : [[_2nd_order, _with_linear_symmetries]]

Solve

\begin{align*} y^{\prime \prime }-x^{3} y^{\prime }-x^{3} y-x^{3}&=0 \end{align*}

2.43.1 Maple step by step solution

2.43.2 Maple trace

Methods for second order ODEs:
 

2.43.3 Maple dsolve solution

Solving time : 0.047 (sec)
Leaf size : maple_leaf_size

dsolve(diff(diff(y(x),x),x)-x^3*diff(y(x),x)-x^3*y(x)-x^3 = 0, 
       y(x),singsol=all)
 

\[ \text {No solution found} \]

2.43.4 Mathematica DSolve solution

Solving time : 0.0 (sec)
Leaf size : 0

DSolve[{D[y[x],{x,2}]-x^3*D[y[x],x]-x^3*y[x]-x^3==0,{}}, 
       y[x],x,IncludeSingularSolutions->True]
 

Not solved