77.1.77 problem 96 (page 135)

Internal problem ID [17967]
Book : V.V. Stepanov, A course of differential equations (in Russian), GIFML. Moscow (1958)
Section : All content
Problem number : 96 (page 135)
Date solved : Tuesday, January 28, 2025 at 11:18:45 AM
CAS classification : [`y=_G(x,y')`]

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

✗ Solution by Maple

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

\[ \text {No solution found} \]

✗ Solution by Mathematica

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

DSolve[y[x]==D[y[x],x]^2-D[y[x],x]*x+(x^3)/2,y[x],x,IncludeSingularSolutions -> True]
 

Not solved