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 = 0.0740705 (sec), leaf count = 0 , could not solve

DSolve[40*Derivative[3][y][x]^3 - 45*Derivative[2][y][x]*Derivative[3][y][x]*Derivative[4][y][x] + 9*Derivative[2][y][x]^2*Derivative[5][y][x] == 0, y[x], x]

✓ Maple : cpu = 0.681 (sec), leaf count = 110

$$\{y\left(x\right)=\int \int \mathit{R}\mathit{o}\mathit{o}\mathit{t}\mathit{O}\mathit{f}(-{\int }^{\mathit{\_}\mathit{Z}}{\left(\mathit{R}\mathit{o}\mathit{o}\mathit{t}\mathit{O}\mathit{f}(-20\ln \left(\mathit{\_}\mathit{f}\right)+{\int }^{\mathit{\_}\mathit{Z}}\mathit{\_}\mathit{k}({\mathrm{e}}^{\mathit{R}\mathit{o}\mathit{o}\mathit{t}\mathit{O}\mathit{f}(81{\mathit{\_}\mathit{k}}^2{\mathrm{e}}^{\mathit{\_}\mathit{Z}}+20{\mathrm{e}}^{\mathit{\_}\mathit{Z}}\ln ({\mathrm{e}}^{\mathit{\_}\mathit{Z}}+27)-40{\mathrm{e}}^{\mathit{\_}\mathit{Z}}\ln \left(2\right)-20{\mathrm{e}}^{\mathit{\_}\mathit{Z}}\ln \left(5\right)+162\mathit{\_}\mathit{C}\mathit{1}{\mathrm{e}}^{\mathit{\_}\mathit{Z}}-20\mathit{\_}\mathit{Z}{\mathrm{e}}^{\mathit{\_}\mathit{Z}}+2187{\mathit{\_}\mathit{k}}^2+540\ln ({\mathrm{e}}^{\mathit{\_}\mathit{Z}}+27)-1080\ln \left(2\right)-540\ln \left(5\right)+4374\mathit{\_}\mathit{C}\mathit{1}-540\mathit{\_}\mathit{Z}-540)}+27)d\mathit{\_}\mathit{k}+20\mathit{\_}\mathit{C}\mathit{2})\right)}^{-1}d\mathit{\_}\mathit{f}+x+\mathit{\_}\mathit{C}\mathit{3})\mathrm{d}x\mathrm{d}x+\mathit{\_}\mathit{C}\mathit{4}x+\mathit{\_}\mathit{C}\mathit{5}\}$$