\[ \left (a y(x)-x^2\right ) y'(x)^2+2 x y(x) y'(x)^2-y(x)^2=0 \] ✗ Mathematica : cpu = 26.2556 (sec), leaf count = 0
DSolve[-y[x]^2 + 2*x*y[x]*Derivative[1][y][x]^2 + (-x^2 + a*y[x])*Derivative[1][y][x]^2 == 0,y[x],x]
, could not solve
DSolve[-y[x]^2 + 2*x*y[x]*Derivative[1][y][x]^2 + (-x^2 + a*y[x])*Derivative[1][y][x]^2 == 0, y[x], x]
✗ Maple : cpu = 0. (sec), leaf count = 0
dsolve((a*y(x)-x^2)*diff(y(x),x)^2+2*x*y(x)*diff(y(x),x)^2-y(x)^2 = 0,y(x))
, could not solve
dsolve((a*y(x)-x^2)*diff(y(x),x)^2+2*x*y(x)*diff(y(x),x)^2-y(x)^2 = 0,y(x))