2.1853   ODE No. 1853

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

$$40y^{(3)}(x{)}^3+9y^{(5)}(x)y^{″}(x{)}^2-45y^{(4)}(x)y^{(3)}(x)y^{″}(x)=0$$ ✓ Mathematica : cpu = 0.141571 (sec), leaf count = 43

$$\left\{\{y(x)\to c_{5}x-\frac{4\sqrt{x(c_{3}x+c_2)+c_1}}{c_2{}^2-4c_1{c}_3}+c_4\}\right\}$$ ✓ Maple : cpu = 1.053 (sec), leaf count = 110

$$\{y\left(x\right)=c_{4}x+c_5+\int \int \mathrm{RootOf}(c_3+x-\left({\int }_{}^{\mathit{\text{\_Z}}}\frac{1}{\mathrm{RootOf}(20c_2+{\int }_{}^{\mathit{\text{\_Z}}}({\mathrm{e}}^{\mathrm{RootOf}(81{\mathit{\text{\_k}}}^2{\mathrm{e}}^{\mathit{\text{\_Z}}}+162c_1{\mathrm{e}}^{\mathit{\text{\_Z}}}-20\mathit{\text{\_Z}}{\mathrm{e}}^{\mathit{\text{\_Z}}}+2187{\mathit{\text{\_k}}}^2+20{\mathrm{e}}^{\mathit{\text{\_Z}}}\ln ({\mathrm{e}}^{\mathit{\text{\_Z}}}+27)+4374c_1-540\mathit{\text{\_Z}}-40\ln \left(2\right){\mathrm{e}}^{\mathit{\text{\_Z}}}-20\ln \left(5\right){\mathrm{e}}^{\mathit{\text{\_Z}}}+540\ln ({\mathrm{e}}^{\mathit{\text{\_Z}}}+27)-1080\ln \left(2\right)-540\ln \left(5\right)-540)}+27)\mathit{\text{\_k}}d\mathit{\text{\_k}}-20\ln \left(\mathit{\text{\_f}}\right))}d\mathit{\text{\_f}}\right))dxdx\}$$