74.6.42 problem 48

Internal problem ID [16065]
Book : INTRODUCTORY DIFFERENTIAL EQUATIONS. Martha L. Abell, James P. Braselton. Fourth edition 2014. ElScAe. 2014
Section : Chapter 2. First Order Equations. Exercises 2.4, page 57
Problem number : 48
Date solved : Tuesday, January 28, 2025 at 08:35:04 AM
CAS classification : [_separable]

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

✓ Solution by Maple

Time used: 0.003 (sec). Leaf size: 9

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

\[ y = \frac {c_{1}}{t} \]

✓ Solution by Mathematica

Time used: 0.034 (sec). Leaf size: 16

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

\begin{align*} y(t)\to \frac {c_1}{t} \\ y(t)\to 0 \\ \end{align*}