56.2.53 problem 52

Internal problem ID [8857]
Book : Own collection of miscellaneous problems
Section : section 2.0
Problem number : 52
Date solved : Monday, January 27, 2025 at 05:07:13 PM
CAS classification : [[_2nd_order, _with_linear_symmetries]]

\begin{align*} y^{\prime \prime }-x^{3} y^{\prime }-x^{3} y-x^{4}-x^{3}&=0 \end{align*}

✗ Solution by Maple

dsolve(diff(y(x),x$2)-x^3*diff(y(x),x)-x^3*y(x)-x^4-x^3=0,y(x), singsol=all)
 

\[ \text {No solution found} \]

✗ Solution by Mathematica

Time used: 0.000 (sec). Leaf size: 0

DSolve[D[y[x],{x,2}]-x^3*D[y[x],x]-x^3*y[x]-x^4-x^3==0,y[x],x,IncludeSingularSolutions -> True]
 

Not solved