2.1028   ODE No. 1028

\[ y''(x)-y(x) \left (a p(x)+b+\frac {p^4(x)}{30}+\frac {7 p''(x)}{3}\right )=0 \] Mathematica : cpu = 0.218298 (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 or ODESolStruc

\[y \relax (x ) = \mathit {DESol}\left (\left \{\frac {d^{2}}{d x^{2}}\textit {\_Y} \relax (x )+\left (-\frac {\frac {d^{4}}{d x^{4}}p \relax (x )}{30}-\frac {7 \frac {d^{2}}{d x^{2}}p \relax (x )}{3}-a p \relax (x )-b \right ) \textit {\_Y} \relax (x )\right \}, \left \{\textit {\_Y} \relax (x )\right \}\right )\]