66.7.1 problem 1

Internal problem ID [16029]
Book : DIFFERENTIAL EQUATIONS by Paul Blanchard, Robert L. Devaney, Glen R. Hall. 4th edition. Brooks/Cole. Boston, USA. 2012
Section : Chapter 1. First-Order Differential Equations. Exercises section 1.9 page 133
Problem number : 1
Date solved : Thursday, October 02, 2025 at 10:39:11 AM
CAS classification : [_linear]

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

✓ Maple. Time used: 0.001 (sec). Leaf size: 11

ode:=diff(y(t),t) = -y(t)/t+2; 
dsolve(ode,y(t), singsol=all);
 

\[ y = t +\frac {c_1}{t} \]

✓ Mathematica. Time used: 0.016 (sec). Leaf size: 13

ode=D[y[t],t]==-y[t]/t+2; 
ic={}; 
DSolve[{ode,ic},y[t],t,IncludeSingularSolutions->True]
 

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

✓ Sympy. Time used: 0.082 (sec). Leaf size: 7

from sympy import * 
t = symbols("t") 
y = Function("y") 
ode = Eq(Derivative(y(t), t) - 2 + y(t)/t,0) 
ics = {} 
dsolve(ode,func=y(t),ics=ics)
 

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