\[ y(x) \left (-4 a n p(x)^2+a+b p(x)\right )+a p''(x) y'(x)+y''(x)=0 \] ✗ Mathematica : cpu = 0.290872 (sec), leaf count = 0
, could not solve
DSolve[(a + b*p[x] - 4*a*n*p[x]^2)*y[x] + a*Derivative[1][y][x]*Derivative[2][p][x] + Derivative[2][y][x] == 0, y[x], x]
✗ Maple : cpu = 0. (sec), leaf count = 0
, result contains DESol or ODESolStruc
\[y \relax (x ) = \mathit {DESol}\left (\left \{\frac {d^{2}}{d x^{2}}\textit {\_Y} \relax (x )+a \left (\frac {d^{2}}{d x^{2}}p \relax (x )\right ) \left (\frac {d}{d x}\textit {\_Y} \relax (x )\right )+\left (a +b p \relax (x )-4 n a p \relax (x )^{2}\right ) \textit {\_Y} \relax (x )\right \}, \left \{\textit {\_Y} \relax (x )\right \}\right )\]