Internal problem ID [8087]
Book: Differential Gleichungen, E. Kamke, 3rd ed. Chelsea Pub. NY, 1948
Section: Chapter 1, linear first order
Problem number: 507.
ODE order: 1.
ODE degree: 2.
CAS Maple gives this as type [y=_G(x,y')]
Solve \begin {gather*} \boxed {\left (y^{4}-a^{2} x^{2}\right ) \left (y^{\prime }\right )^{2}+2 a^{2} x y y^{\prime }+y^{2} \left (y^{2}-a^{2}\right )=0} \end {gather*}
✗ Solution by Maple
dsolve((y(x)^4-a^2*x^2)*diff(y(x),x)^2+2*a^2*x*y(x)*diff(y(x),x)+y(x)^2*(y(x)^2-a^2)=0,y(x), singsol=all)
\[ \text {No solution found} \]
✗ Solution by Mathematica
Time used: 0.0 (sec). Leaf size: 0
DSolve[y[x]^2*(-a^2 + y[x]^2) + 2*a^2*x*y[x]*y'[x] + (-(a^2*x^2) + y[x]^4)*y'[x]^2==0,y[x],x,IncludeSingularSolutions -> True]
Not solved