2.889   ODE No. 889

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

$$y^{\prime }(x)=-\frac{e^x(-8y(x{)}^{9/2}+36e^{x}y(x{)}^3-8y(x{)}^3+24e^{x}y(x{)}^{3/2}-54e^{2x}y(x{)}^{3/2}-18e^{2x}+27e^{3x}-8)}{8\sqrt{y(x)}}$$ ✓ Mathematica : cpu = 1.82973 (sec), leaf count = 68

$$\text{Solve}[\frac{2}{3}\log (y(x{)}^{3/2}-\frac{3e^x}{2})+e^x=\frac{4}{9e^x-6y(x{)}^{3/2}}+\frac{2}{3}\log (y(x{)}^{3/2}-\frac{3e^x}{2}+1)+c_1,y(x)]$$ ✓ Maple : cpu = 0.911 (sec), leaf count = 49

$$\{-c_1+{\mathrm{e}}^x+\frac{2\ln (y{\left(x\right)}^{\frac{3}{2}}-\frac{3{\mathrm{e}}^x}{2})}{3}-\frac{2\ln (y{\left(x\right)}^{\frac{3}{2}}-\frac{3{\mathrm{e}}^x}{2}+1)}{3}-\frac{4}{-6y{\left(x\right)}^{\frac{3}{2}}+9{\mathrm{e}}^x}=0\}$$