76.23.5 problem 6

Internal problem ID [17796]
Book : Differential equations. An introduction to modern methods and applications. James Brannan, William E. Boyce. Third edition. Wiley 2015
Section : Chapter 6. Systems of First Order Linear Equations. Section 6.1 (Definitions and examples). Problems at page 388
Problem number : 6
Date solved : Tuesday, January 28, 2025 at 11:03:12 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