77.1.92 problem 119 (page 179)

Internal problem ID [17982]
Book : V.V. Stepanov, A course of differential equations (in Russian), GIFML. Moscow (1958)
Section : All content
Problem number : 119 (page 179)
Date solved : Tuesday, January 28, 2025 at 11:19:19 AM
CAS classification : [[_2nd_order, _exact, _nonlinear], [_2nd_order, _with_linear_symmetries], [_2nd_order, _reducible, _mu_x_y1], [_2nd_order, _reducible, _mu_y_y1], [_2nd_order, _reducible, _mu_poly_yn]]

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

✗ Solution by Maple

dsolve(diff(y(x),x)*diff(y(x),x$2)-x^2*y(x)*diff(y(x),x)-x*y(x)^2=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]*D[y[x],{x,2}]-x^2*y[x]*D[y[x],x]-x*y[x]^2==0,y[x],x,IncludeSingularSolutions -> True]
 

Not solved