Internal problem ID [2319]
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: 6.
ODE order: 1.
ODE degree: 2.
CAS Maple gives this as type [`y=_G(x,y')`]
\[ \boxed {x y {y^{\prime }}^{2}+\left (y x -1\right ) y^{\prime }-y=0} \]
✗ Solution by Maple
dsolve(x*y(x)*diff(y(x),x)^2+(x*y(x)-1)*diff(y(x),x)=y(x),y(x), singsol=all)
\[ \text {No solution found} \]
✗ Solution by Mathematica
Time used: 0.0 (sec). Leaf size: 0
DSolve[x*y[x]*y'[x]^2+(x*y[x]-1)*y'[x]==y[x],y[x],x,IncludeSingularSolutions -> True]
Not solved