64.22.2 problem 1 (b)

Internal problem ID [13667]
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 : 1 (b)
Date solved : Tuesday, January 28, 2025 at 05:54:38 AM
CAS classification : [[_2nd_order, _with_linear_symmetries]]

\begin{align*} \left (2 t +1\right ) x^{\prime \prime }+t^{3} x^{\prime }+x&=0 \end{align*}

✗ Solution by Maple

dsolve((2*t+1)*diff(x(t),t$2)+t^3*diff(x(t),t)+x(t)=0,x(t), singsol=all)
 

\[ \text {No solution found} \]

✗ Solution by Mathematica

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

DSolve[(2*t+1)*D[x[t],{t,2}]+t^3*D[x[t],t]+x[t]==0,{x[t]},t,IncludeSingularSolutions -> True]
 

Not solved