Internal problem ID [7963]
Book: Differential Gleichungen, E. Kamke, 3rd ed. Chelsea Pub. NY, 1948
Section: Chapter 1, linear first order
Problem number: 383.
ODE order: 1.
ODE degree: 2.
CAS Maple gives this as type [[_homogeneous, class G]]
Solve \begin {gather*} \boxed {\left (y^{\prime }\right )^{2}+y^{\prime } a x +b y+c \,x^{2}=0} \end {gather*}
✗ Solution by Maple
dsolve(diff(y(x),x)^2+a*x*diff(y(x),x)+b*y(x)+c*x^2 = 0,y(x), singsol=all)
\[ \text {No solution found} \]
✗ Solution by Mathematica
Time used: 0.0 (sec). Leaf size: 0
DSolve[c*x^2 + b*y[x] + a*x*y'[x] + y'[x]^2==0,y[x],x,IncludeSingularSolutions -> True]
Timed out