2.1474   ODE No. 1474

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

$$y^{\prime }(x)(f^{\prime }(x)+2f(x{)}^2+4g(x))+y(x)(4f(x)g(x)+2g^{\prime }(x))+3f(x)y^{″}(x)+y^{(3)}(x)=0$$ ✗ Mathematica : cpu = 0.0152175 (sec), leaf count = 0 , could not solve

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

✗ Maple : cpu = 0. (sec), leaf count = 0 , result contains DESol

$$\{y\left(x\right)={\left(\mathit{D}\mathit{E}\mathit{S}\mathit{o}\mathit{l}(\{\frac{{\mathrm{d}}^2}{\mathrm{d}{x}^2}\mathit{\_}\mathit{Y}\left(x\right)+f\left(x\right)\frac{\mathrm{d}}{\mathrm{d}x}\mathit{\_}\mathit{Y}\left(x\right)+g\left(x\right)\mathit{\_}\mathit{Y}\left(x\right)\},\left\{\mathit{\_}\mathit{Y}\left(x\right)\right\})\right)}^2\}$$