11.1.2 problem 2

Internal problem ID [1463]
Book : Elementary differential equations and boundary value problems, 11th ed., Boyce, DiPrima, Meade
Section : Chapter 4.1, Higher order linear differential equations. General theory. page 173
Problem number : 2
Date solved : Monday, January 27, 2025 at 04:57:41 AM
CAS classification : [[_high_order, _with_linear_symmetries]]

\begin{align*} t \left (t -1\right ) y^{\prime \prime \prime \prime }+{\mathrm e}^{t} y^{\prime \prime }+4 t^{2} y&=0 \end{align*}

✗ Solution by Maple

dsolve(t*(t-1)*diff(y(t),t$4)+exp(t)*diff(y(t),t$2)+4*t^2*y(t)=0,y(t), singsol=all)
 

\[ \text {No solution found} \]

✗ Solution by Mathematica

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

DSolve[t*(t-1)*D[y[t],{t,4}]+Exp[t]*D[y[t],{t,2}]+4*t^2*y[t]==0,y[t],t,IncludeSingularSolutions -> True]
 

Not solved