Internal problem ID [3708]
Book: Ordinary differential equations and their solutions. By George Moseley Murphy.
1960
Section: Various 33
Problem number: 983.
ODE order: 1.
ODE degree: 2.
CAS Maple gives this as type [y=_G(x,y')]
Solve \begin {gather*} \boxed {\left (a^{2}-2 a y x +y^{2}\right ) \left (y^{\prime }\right )^{2}+2 y y^{\prime } a +y^{2}=0} \end {gather*}
✗ Solution by Maple
dsolve((a^2-2*a*x*y(x)+y(x)^2)*diff(y(x),x)^2+2*a*y(x)*diff(y(x),x)+y(x)^2 = 0,y(x), singsol=all)
\[ \text {No solution found} \]
✗ Solution by Mathematica
Time used: 0.0 (sec). Leaf size: 0
DSolve[(a^2-2 a x y[x]+y[x]^2) (y'[x])^2+2 a y[x] y'[x]+y[x]^2==0,y[x],x,IncludeSingularSolutions -> True]
Not solved