74.18.49 problem 54 (c)

Internal problem ID [16606]
Book : INTRODUCTORY DIFFERENTIAL EQUATIONS. Martha L. Abell, James P. Braselton. Fourth edition 2014. ElScAe. 2014
Section : Chapter 4. Higher Order Equations. Chapter 4 review exercises, page 219
Problem number : 54 (c)
Date solved : Tuesday, January 28, 2025 at 09:12:36 AM
CAS classification : [[_Emden, _Fowler]]

\begin{align*} t^{2} y^{\prime \prime }-5 y^{\prime } t +5 y&=0 \end{align*}

✓ Solution by Maple

Time used: 0.003 (sec). Leaf size: 13

dsolve(t^2*diff(y(t),t$2)-5*t*diff(y(t),t)+5*y(t)=0,y(t), singsol=all)
 

\[ y = t \left (c_{1} t^{4}+c_{2} \right ) \]

✓ Solution by Mathematica

Time used: 0.010 (sec). Leaf size: 16

DSolve[t^2*D[y[t],{t,2}]-5*t*D[y[t],t]+5*y[t]==0,y[t],t,IncludeSingularSolutions -> True]
 

\[ y(t)\to t \left (c_2 t^4+c_1\right ) \]