ODE No. 482

$$(a+x^{22}-y(x{)}^2)y^{\prime }(x)+xy(x)y^{\prime }(x{)}^2-xy(x)=0$$ ✗ Mathematica : cpu = 53.8931 (sec), leaf count = 0

DSolve[-(x*y[x]) + (a + x^22 - y[x]^2)*Derivative[1][y][x] + x*y[x]*Derivative[1][y][x]^2 == 0,y[x],x]
 

, could not solve

DSolve[-(x*y[x]) + (a + x^22 - y[x]^2)*Derivative[1][y][x] + x*y[x]*Derivative[1][y][x]^2 == 0, y[x], x]

✗ Maple : cpu = 0. (sec), leaf count = 0

dsolve(x*y(x)*diff(y(x),x)^2+(x^22-y(x)^2+a)*diff(y(x),x)-x*y(x) = 0,y(x))
 

, could not solve

dsolve(x*y(x)*diff(y(x),x)^2+(x^22-y(x)^2+a)*diff(y(x),x)-x*y(x) = 0,y(x))