60.3.31 problem 1031

Internal problem ID [11041]
Book : Differential Gleichungen, E. Kamke, 3rd ed. Chelsea Pub. NY, 1948
Section : Chapter 2, linear second order
Problem number : 1031
Date solved : Monday, January 27, 2025 at 10:42:23 PM
CAS classification : [[_2nd_order, _with_linear_symmetries]]

\begin{align*} y^{\prime \prime }-f \left (x \right ) y&=0 \end{align*}

✗ Solution by Maple

dsolve(diff(diff(y(x),x),x)-f(x)*y(x)=0,y(x), singsol=all)
 

\[ \text {No solution found} \]

✗ Solution by Mathematica

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

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

Not solved