3.948   ODE No. 948

$$\boxed{{\displaystyle \frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)=-216\frac{y\left(x\right)}{-216{\left(y\left(x\right)\right)}^4-252{\left(y\left(x\right)\right)}^3-396{\left(y\left(x\right)\right)}^2-216y\left(x\right)+36x^2-72xy\left(x\right)+60{\left(y\left(x\right)\right)}^5-36x{\left(y\left(x\right)\right)}^3-72x{\left(y\left(x\right)\right)}^2-24x{\left(y\left(x\right)\right)}^4+4{\left(y\left(x\right)\right)}^8+12{\left(y\left(x\right)\right)}^7+33{\left(y\left(x\right)\right)}^6}=0}}$$

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

Mathematica: cpu = 0.259033 (sec), leaf count = 39 $$\text{Solve}[\frac{36}{y(x)(2y(x{)}^3+3y(x{)}^2+6y(x)+6)-6x}+\log (y(x))=c_1,y(x)]$$

Maple: cpu = 0.140 (sec), leaf count = 68 $$\{y\left(x\right)={\mathrm{e}}^{\mathit{R}\mathit{o}\mathit{o}\mathit{t}\mathit{O}\mathit{f}(-12\mathit{\_}\mathit{C}\mathit{1}{\left({\mathrm{e}}^{\mathit{\_}\mathit{Z}}\right)}^4-2{\left({\mathrm{e}}^{\mathit{\_}\mathit{Z}}\right)}^4\mathit{\_}\mathit{Z}-18\mathit{\_}\mathit{C}\mathit{1}{\left({\mathrm{e}}^{\mathit{\_}\mathit{Z}}\right)}^3-3{\left({\mathrm{e}}^{\mathit{\_}\mathit{Z}}\right)}^3\mathit{\_}\mathit{Z}-36\mathit{\_}\mathit{C}\mathit{1}{\left({\mathrm{e}}^{\mathit{\_}\mathit{Z}}\right)}^2-6\mathit{\_}\mathit{Z}{\left({\mathrm{e}}^{\mathit{\_}\mathit{Z}}\right)}^2-36\mathit{\_}\mathit{C}\mathit{1}{\mathrm{e}}^{\mathit{\_}\mathit{Z}}-6\mathit{\_}\mathit{Z}{\mathrm{e}}^{\mathit{\_}\mathit{Z}}+36x\mathit{\_}\mathit{C}\mathit{1}+6\mathit{\_}\mathit{Z}x-36)}\}$$