Internal problem ID [8606]
Book: Differential Gleichungen, E. Kamke, 3rd ed. Chelsea Pub. NY, 1948
Section: Chapter 2, linear second order
Problem number: 1026.
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type [[_2nd_order, _with_linear_symmetries]]
Solve \begin {gather*} \boxed {y^{\prime \prime }-\left (n \left (n +1\right ) \WeierstrassP \left (x , \mathit {g2} , \mathit {g3}\right )+B \right ) y=0} \end {gather*}
✗ Solution by Maple
dsolve(diff(diff(y(x),x),x)-(n*(n+1)*WeierstrassP(x,g2,g3)+B)*y(x)=0,y(x), singsol=all)
\[ \text {No solution found} \]
✗ Solution by Mathematica
Time used: 0.0 (sec). Leaf size: 0
DSolve[-((B + n*(1 + n)*WeierstrassP[x, {g2, g3}])*y[x]) + y''[x] == 0,y[x],x,IncludeSingularSolutions -> True]
Not solved