62.36.7 problem Ex 7

Internal problem ID [13005]
Book : An elementary treatise on differential equations by Abraham Cohen. DC heath publishers. 1906
Section : Chapter IX, Miscellaneous methods for solving equations of higher order than first. Article 60. Exact equation. Integrating factor. Page 139
Problem number : Ex 7
Date solved : Tuesday, January 28, 2025 at 04:47:19 AM
CAS classification : [[_2nd_order, _with_linear_symmetries]]

\begin{align*} x^{2} \left (-x^{3}+1\right ) y^{\prime \prime }-x^{3} y^{\prime }-2 y&=0 \end{align*}

✗ Solution by Maple

dsolve(x^2*(1-x^3)*diff(y(x),x$2)-x^3*diff(y(x),x)-2*y(x)=0,y(x), singsol=all)
 

\[ \text {No solution found} \]

✗ Solution by Mathematica

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

DSolve[x^2*(1-x^3)*D[y[x],{x,2}]-x^3*D[y[x],x]-2*y[x]==0,y[x],x,IncludeSingularSolutions -> True]
 

Not solved