2.919   ODE No. 919

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

$$y^{\prime }(x)=\frac{(-y(x)+\sqrt{y(x)}+x)y(x{)}^{3/2}}{x^3-3x^{2}y(x)+3xy(x{)}^2+xy(x{)}^{3/2}-y(x{)}^3-y(x{)}^{5/2}+y(x{)}^2}$$ ✓ Mathematica : cpu = 0.355592 (sec), leaf count = 251

$$\left\{\{y(x)\to \text{Root}[{\mathrm{\#}\text{1}}^9{c}_1{}^4-6{\mathrm{\#}\text{1}}^8{c}_1{}^{4}x+{\mathrm{\#}\text{1}}^7(15c_1{}^4{x}^2-6c_1{}^2)+{\mathrm{\#}\text{1}}^6(-20c_1{}^4{x}^3+30c_1{}^{2}x-4+2c_1{}^2)+{\mathrm{\#}\text{1}}^5(15c_1{}^4{x}^4-60c_1{}^2{x}^2+24x-6c_1{}^{2}x+9)+{\mathrm{\#}\text{1}}^4(-6c_1{}^4{x}^5+60c_1{}^2{x}^3-60x^2+6c_1{}^2{x}^2-36x-6)+{\mathrm{\#}\text{1}}^3(c_1{}^4{x}^6-30c_1{}^2{x}^4+80x^3-2c_1{}^2{x}^3+54x^2+12x+1)+{\mathrm{\#}\text{1}}^2(6c_1{}^2{x}^5-60x^4-36x^3-6x^2)+\mathrm{\#}\text{1}(24x^5+9x^4)-4x^6\mathrm{\&},1]\}\right\}$$ ✓ Maple : cpu = 0.167 (sec), leaf count = 61

$$\{-\frac{c_1{(-x+y\left(x\right))}^{\frac{3}{2}}y{\left(x\right)}^{\frac{3}{4}}+(x-y\left(x\right)-\sqrt{y\left(x\right)})\sqrt{-2x+2y\left(x\right)-\sqrt{y\left(x\right)}}}{{(-x+y\left(x\right))}^{\frac{3}{2}}y{\left(x\right)}^{\frac{3}{4}}}=0\}$$