60.3.30 problem 1030

Internal problem ID [11040]
Book : Differential Gleichungen, E. Kamke, 3rd ed. Chelsea Pub. NY, 1948
Section : Chapter 2, linear second order
Problem number : 1030
Date solved : Monday, January 27, 2025 at 10:42:23 PM
CAS classification : [[_2nd_order, _with_linear_symmetries]]

\begin{align*} y^{\prime \prime }+\left (P \left (x \right )+l \right ) y&=0 \end{align*}

Solution by Maple

dsolve(diff(diff(y(x),x),x)+(P(x)+l)*y(x)=0,y(x), singsol=all)
 
\[ \text {No solution found} \]

Solution by Mathematica

Time used: 0.000 (sec). Leaf size: 0

DSolve[(l + P[x])*y[x] + D[y[x],{x,2}] == 0,y[x],x,IncludeSingularSolutions -> True]
 

Not solved