74.10.35 problem 37 (a)

Internal problem ID [16240]
Book : INTRODUCTORY DIFFERENTIAL EQUATIONS. Martha L. Abell, James P. Braselton. Fourth edition 2014. ElScAe. 2014
Section : Chapter 4. Higher Order Equations. Exercises 4.2, page 147
Problem number : 37 (a)
Date solved : Tuesday, January 28, 2025 at 08:58:23 AM
CAS classification : [[_Emden, _Fowler]]

\begin{align*} 3 t^{2} y^{\prime \prime }-2 y^{\prime } t +2 y&=0 \end{align*}

✓ Solution by Maple

Time used: 0.004 (sec). Leaf size: 13

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

\[ y = c_{1} t^{{2}/{3}}+c_{2} t \]

✓ Solution by Mathematica

Time used: 0.012 (sec). Leaf size: 18

DSolve[3*t^2*D[y[t],{t,2}]-2*t*D[y[t],t]+2*y[t]==0,y[t],t,IncludeSingularSolutions -> True]
 

\[ y(t)\to c_1 t^{2/3}+c_2 t \]