2.1531   ODE No. 1531

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

$$A(x)(f(x)y^{″}(x)+g(x)y^{\prime }(x)+h(x)y(x))+f^{\prime }(x)y^{″}(x)+f(x)y^{(3)}(x)+g^{\prime }(x)y^{\prime }(x)+g(x)y^{″}(x)+y(x)h^{\prime }(x)+h(x)y^{\prime }(x)=0$$ ✗ Mathematica : cpu = 0.0316928 (sec), leaf count = 0 , could not solve

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

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

$$\{y\left(x\right)=\mathit{D}\mathit{E}\mathit{S}\mathit{o}\mathit{l}(\{f\left(x\right)\frac{{\mathrm{d}}^3}{\mathrm{d}{x}^3}\mathit{\_}\mathit{Y}\left(x\right)+(\frac{\mathrm{d}}{\mathrm{d}x}f\left(x\right)+g\left(x\right)+A\left(x\right)f\left(x\right))\frac{{\mathrm{d}}^2}{\mathrm{d}{x}^2}\mathit{\_}\mathit{Y}\left(x\right)+(\frac{\mathrm{d}}{\mathrm{d}x}g\left(x\right)+h\left(x\right)+A\left(x\right)g\left(x\right))\frac{\mathrm{d}}{\mathrm{d}x}\mathit{\_}\mathit{Y}\left(x\right)+(\frac{\mathrm{d}}{\mathrm{d}x}h\left(x\right)+A\left(x\right)h\left(x\right))\mathit{\_}\mathit{Y}\left(x\right)\},\left\{\mathit{\_}\mathit{Y}\left(x\right)\right\})\}$$