2.1544   ODE No. 1544

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

$$y(x)(3f^{″}(x)+3f(x{)}^2)+10f^{\prime }(x)y^{\prime }(x)+10f(x)y^{″}(x)+y^{(4)}(x)=0$$ ✗ Mathematica : cpu = 0.0144812 (sec), leaf count = 0 , could not solve

DSolve[10*Derivative[1][f][x]*Derivative[1][y][x] + y[x]*(3*f[x]^2 + 3*Derivative[2][f][x]) + 10*f[x]*Derivative[2][y][x] + Derivative[4][y][x] == 0, y[x], x]

✓ Maple : cpu = 0.017 (sec), leaf count = 41

$$\{y\left(x\right)=\sum _{\mathit{\_}\mathit{a}=1}^4{\mathrm{e}}^{\mathit{R}\mathit{o}\mathit{o}\mathit{t}\mathit{O}\mathit{f}({\mathit{\_}\mathit{Z}}^4+10f{\mathit{\_}\mathit{Z}}^2+10\mathit{d}\mathit{f}\mathit{\_}\mathit{Z}+3f^2+3\mathit{d}\mathit{d}\mathit{f},\mathit{i}\mathit{n}\mathit{d}\mathit{e}\mathit{x}=\mathit{\_}\mathit{a})x}{\mathit{\_}\mathit{C}}_{\mathit{\_}\mathit{a}}\}$$