Internal problem ID [8652]
Book: Differential Gleichungen, E. Kamke, 3rd ed. Chelsea Pub. NY, 1948
Section: Chapter 2, linear second order
Problem number: 1072.
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type [[_2nd_order, _with_linear_symmetries]]
Solve \begin {gather*} \boxed {y^{\prime \prime }+a p^{\prime \prime }\relax (x ) y^{\prime }+\left (a +b p \relax (x )-4 n a p \relax (x )^{2}\right ) y=0} \end {gather*}
✗ Solution by Maple
dsolve(diff(diff(y(x),x),x)+a*diff(diff(p(x),x),x)*diff(y(x),x)+(a+b*p(x)-4*n*a*p(x)^2)*y(x)=0,y(x), singsol=all)
\[ \text {No solution found} \]
✗ Solution by Mathematica
Time used: 0.0 (sec). Leaf size: 0
DSolve[(a + b*p[x] - 4*a*n*p[x]^2)*y[x] + a*y'[x]*Derivative[2][p][x] + y''[x] == 0,y[x],x,IncludeSingularSolutions -> True]
Not solved