2.51 problem 50

Internal problem ID [7835]
Book : Own collection of miscellaneous problems
Section : section 2.0
Problem number : 50
Date solved : Monday, October 21, 2024 at 04:25:01 PM
CAS classification : [[_2nd_order, _with_linear_symmetries]]

Solve

\begin{align*} y^{\prime \prime }-x^{3} y^{\prime }-x y-x^{3}-x^{2}&=0 \end{align*}

2.51.1 Maple step by step solution

2.51.2 Maple trace

Methods for second order ODEs:
 

2.51.3 Maple dsolve solution

Solving time : 0.050 (sec)
Leaf size : maple_leaf_size

dsolve(diff(diff(y(x),x),x)-x^3*diff(y(x),x)-x*y(x)-x^3-x^2 = 0, 
       y(x),singsol=all)
 

\[ \text {No solution found} \]

2.51.4 Mathematica DSolve solution

Solving time : 0.0 (sec)
Leaf size : 0

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

Not solved