2.1028   ODE No. 1028

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

$$y^{″}(x)-y(x)(ap(x)+b+\frac{p^4(x)}{30}+\frac{7p^{″}(x)}{3})=0$$ ✗ Mathematica : cpu = 0.291498 (sec), leaf count = 0 , could not solve

DSolve[-(y[x]*(b + a*p[x] + (p^4)[x]/30 + (7*Derivative[2][p][x])/3)) + Derivative[2][y][x] == 0, y[x], x]

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

$$\{y\left(x\right)=\mathit{D}\mathit{E}\mathit{S}\mathit{o}\mathit{l}(\{\frac{{\mathrm{d}}^2}{\mathrm{d}{x}^2}\mathit{\_}\mathit{Y}\left(x\right)+(-\frac{\frac{{\mathrm{d}}^4}{\mathrm{d}{x}^4}p\left(x\right)}{30}-\frac{7\frac{{\mathrm{d}}^2}{\mathrm{d}{x}^2}p\left(x\right)}{3}-ap\left(x\right)-b)\mathit{\_}\mathit{Y}\left(x\right)\},\left\{\mathit{\_}\mathit{Y}\left(x\right)\right\})\}$$