Internal problem ID [8041]
Book: Differential Gleichungen, E. Kamke, 3rd ed. Chelsea Pub. NY, 1948
Section: Chapter 1, linear first order
Problem number: 461.
ODE order: 1.
ODE degree: 2.
CAS Maple gives this as type [y=_G(x,y')]
Solve \begin {gather*} \boxed {\mathit {d0} \relax (x ) \left (y^{\prime }\right )^{2}+2 \mathit {b0} \relax (x ) y y^{\prime }+\mathit {c0} \relax (x ) y^{2}+2 \mathit {d0} \relax (x ) y^{\prime }+2 \mathit {e0} \relax (x ) y+\mathit {f0} \relax (x )=0} \end {gather*}
✗ Solution by Maple
dsolve(d0(x)*diff(y(x),x)^2+2*b0(x)*y(x)*diff(y(x),x)+c0(x)*y(x)^2+2*d0(x)*diff(y(x),x)+2*e0(x)*y(x)+f0(x) = 0,y(x), singsol=all)
\[ \text {No solution found} \]
✗ Solution by Mathematica
Time used: 0.0 (sec). Leaf size: 0
DSolve[f[x] + 2*e[x]*y[x] + c[x]*y[x]^2 + 2*d[x]*y'[x] + 2*b[x]*y[x]*y'[x] + a[x]*y'[x]^2==0,y[x],x,IncludeSingularSolutions -> True]
Timed out