2.949   ODE No. 949

1. Problem in Latex
2. Mathematica input
3. Maple input

$$y^{\prime }(x)=\frac{3x^{4}y(x)-6x^{3}y(x)+3x^{2}y(x{)}^2+x^{2}y(x)+x^6-3x^5+x^4+2x^3-3x^2-3xy(x{)}^2+xy(x)+y(x{)}^3+x}{x(x^2+y(x)-x+1)}$$ ✓ Mathematica : cpu = 0.208518 (sec), leaf count = 76

$$\{\{y(x)\to -x^2+x+\frac{1}{x(\frac{1}{x}-\frac{1}{x\sqrt{-2\log (x)+c_1}})}-1\},\{y(x)\to -x^2+x+\frac{1}{x(\frac{1}{x}+\frac{1}{x\sqrt{-2\log (x)+c_1}})}-1\}\}$$ ✓ Maple : cpu = 0.12 (sec), leaf count = 81

$$\{y\left(x\right)=((-x^2+x)\sqrt{\mathit{\_}\mathit{C}\mathit{1}-2\ln \left(x\right)}-x^2+x-1){(1+\sqrt{\mathit{\_}\mathit{C}\mathit{1}-2\ln \left(x\right)})}^{-1},y\left(x\right)=((-x^2+x)\sqrt{\mathit{\_}\mathit{C}\mathit{1}-2\ln \left(x\right)}+x^2-x+1){(-1+\sqrt{\mathit{\_}\mathit{C}\mathit{1}-2\ln \left(x\right)})}^{-1}\}$$