17.3.1 problem 1.1-4 (a)

Internal problem ID [3431]
Book : Ordinary Differential Equations, Robert H. Martin, 1983
Section : Problem 1.1-4, page 7
Problem number : 1.1-4 (a)
Date solved : Monday, January 27, 2025 at 07:36:27 AM
CAS classification : [_separable]

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

✓ Solution by Maple

Time used: 0.001 (sec). Leaf size: 7

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

\[ y = c_{1} t \]

✓ Solution by Mathematica

Time used: 0.023 (sec). Leaf size: 14

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

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