64.22.11 problem 4(d)

Internal problem ID [13676]
Book : Differential Equations by Shepley L. Ross. Third edition. John Willey. New Delhi. 2004.
Section : Chapter 11, The nth order homogeneous linear differential equation. Section 11.8, Exercises page 583
Problem number : 4(d)
Date solved : Tuesday, January 28, 2025 at 05:54:51 AM
CAS classification : [[_2nd_order, _with_linear_symmetries]]

\begin{align*} f \left (t \right ) x^{\prime \prime }+g \left (t \right ) x&=0 \end{align*}

✗ Solution by Maple

dsolve(f(t)*diff(x(t),t$2)+g(t)*x(t)=0,x(t), singsol=all)
 

\[ \text {No solution found} \]

✗ Solution by Mathematica

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

DSolve[f[t]*D[x[t],{t,2}]+g[t]*x[t]==0,{x[t]},t,IncludeSingularSolutions -> True]
 

Not solved