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 : Tuesday, March 04, 2025 at 04:38:33 PM
CAS classification : [_separable]

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

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

ode:=diff(y(t),t) = y(t)/t; 
dsolve(ode,y(t), singsol=all);
 

\[ y = c_{1} t \]

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

ode=D[y[t],t]==y[t]/t; 
ic={}; 
DSolve[{ode,ic},y[t],t,IncludeSingularSolutions->True]
 

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

✓ Sympy. Time used: 0.095 (sec). Leaf size: 5

from sympy import * 
t = symbols("t") 
y = Function("y") 
ode = Eq(Derivative(y(t), t) - y(t)/t,0) 
ics = {} 
dsolve(ode,func=y(t),ics=ics)
 

\[ y{\left (t \right )} = C_{1} t \]