Internal problem ID [2316]
Book: Differential Equations by Alfred L. Nelson, Karl W. Folley, Max Coral. 3rd ed. DC heath.
Boston. 1964
Section: Exercise 37, page 171
Problem number: 3.
ODE order: 1.
ODE degree: 2.
CAS Maple gives this as type [`y=_G(x,y')`]
\[ \boxed {\left (2 y-x^{2}\right ) {y^{\prime }}^{2}-2 x^{2} y {y^{\prime }}^{2}=-1} \]
✗ Solution by Maple
dsolve(1+(2*y(x)-x^2)*diff(y(x),x)^2-2*x^2*y(x)*diff(y(x),x)^2=0,y(x), singsol=all)
\[ \text {No solution found} \]
✗ Solution by Mathematica
Time used: 0.0 (sec). Leaf size: 0
DSolve[1+(2*y[x]-x^2)*y'[x]^2-2*x^2*y[x]*y'[x]^2==0,y[x],x,IncludeSingularSolutions -> True]
Not solved