ODE No. 740

$$y^{\prime }(x)=\frac{x^4-2x^{2}y(x{)}^2+y(x{)}^4+x}{y(x)}$$ ✓ Mathematica : cpu = 0.117538 (sec), leaf count = 74

DSolve[Derivative[1][y][x] == (x + x^4 - 2*x^2*y[x]^2 + y[x]^4)/y[x],y[x],x]
 

$$\{\{y(x)\to -\frac{\sqrt{2x^3+2c_1{x}^2-1}}{\sqrt{2}\sqrt{x+c_1}}\},\{y(x)\to \frac{\sqrt{2x^3+2c_1{x}^2-1}}{\sqrt{2}\sqrt{x+c_1}}\}\}$$ ✓ Maple : cpu = 0.106 (sec), leaf count = 72

dsolve(diff(y(x),x) = (x+y(x)^4-2*x^2*y(x)^2+x^4)/y(x),y(x))
 

$$y\left(x\right)=-\frac{\sqrt{2}\sqrt{(c_1+x)(2x^3+2x^2{c}_1-1)}}{2c_1+2x}$$