74.3.9 problem 10

Internal problem ID [15869]
Book : INTRODUCTORY DIFFERENTIAL EQUATIONS. Martha L. Abell, James P. Braselton. Fourth edition 2014. ElScAe. 2014
Section : Chapter 2. First Order Equations. Exercises 2.1, page 32
Problem number : 10
Date solved : Tuesday, January 28, 2025 at 08:10:49 AM
CAS classification : [_separable]

\begin{align*} y^{\prime } t&=y \end{align*}

✓ Solution by Maple

Time used: 0.002 (sec). Leaf size: 7

dsolve(t*diff(y(t),t)=y(t),y(t), singsol=all)
 

\[ y = c_{1} t \]

✓ Solution by Mathematica

Time used: 0.022 (sec). Leaf size: 14

DSolve[t*D[y[t],t]==y[t],y[t],t,IncludeSingularSolutions -> True]
 

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