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 = 0.146279 (sec), leaf count = 0

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]
 

, 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

dsolve(diff(diff(y(x),x),x)-(1/30*diff(diff(diff(diff(p(x),x),x),x),x)+7/3*diff(diff(p(x),x),x)+a*p(x)+b)*y(x)=0,y(x))
 

, result contains DESol or ODESolStruc

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