2.972   ODE No. 972

y(x)=x(2x4+2x2y(x)x2+1)y(x)x2

Mathematica : cpu = 0.0296206 (sec), leaf count = 32

DSolve[Derivative[1][y][x] == (x*(1 - x^2 - 2*x^4 + 2*x^2*y[x]))/(-x^2 + y[x]),y[x],x]
 
{{y(x)x2+12(1+W(ex42x21+c1))}}

Maple : cpu = 0.31 (sec), leaf count = 27

dsolve(diff(y(x),x) = x*(-x^2+2*x^2*y(x)-2*x^4+1)/(y(x)-x^2),y(x))
 
y(x)=x2+LambertW(2ex4e2x2c1e1)2+12