Internal problem ID [8608]
Book: Differential Gleichungen, E. Kamke, 3rd ed. Chelsea Pub. NY, 1948
Section: Chapter 2, linear second order
Problem number: 1028.
ODE order: 4.
ODE degree: 1.
CAS Maple gives this as type [[_2nd_order, _with_linear_symmetries]]
Solve \begin {gather*} \boxed {y^{\prime \prime }-\left (\frac {p^{\prime \prime \prime \prime }\relax (x )}{30}+\frac {7 p^{\prime \prime }\relax (x )}{3}+a p \relax (x )+b \right ) y=0} \end {gather*}
✗ Solution by Maple
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), singsol=all)
\[ \text {No solution found} \]
✗ Solution by Mathematica
Time used: 0.0 (sec). Leaf size: 0
DSolve[-(y[x]*(b + a*p[x] + (p^4)[x]/30 + (7*Derivative[2][p][x])/3)) + y''[x] == 0,y[x],x,IncludeSingularSolutions -> True]
Not solved