11.5.2 problem 1.1-6 (b)

Internal problem ID [3435]
Book : Ordinary Differential Equations, Robert H. Martin, 1983
Section : Problem 1.1-6, page 7
Problem number : 1.1-6 (b)
Date solved : Tuesday, September 30, 2025 at 06:38:12 AM
CAS classification : [_quadrature]

\begin{align*} y^{\prime }&=1-y \end{align*}

✓ Maple. Time used: 0.001 (sec). Leaf size: 12

ode:=diff(y(t),t) = 1-y(t); 
dsolve(ode,y(t), singsol=all);
 

\[ y = 1+{\mathrm e}^{-t} c_1 \]

✓ Mathematica. Time used: 0.014 (sec). Leaf size: 20

ode=D[y[t],t]==1-y[t]; 
ic={}; 
DSolve[{ode,ic},y[t],t,IncludeSingularSolutions->True]
 

\begin{align*} y(t)&\to 1+c_1 e^{-t}\\ y(t)&\to 1 \end{align*}

✓ Sympy. Time used: 0.067 (sec). Leaf size: 8

from sympy import * 
t = symbols("t") 
y = Function("y") 
ode = Eq(y(t) + Derivative(y(t), t) - 1,0) 
ics = {} 
dsolve(ode,func=y(t),ics=ics)
 

\[ y{\left (t \right )} = C_{1} e^{- t} + 1 \]