67.4.11 problem 5.2 (a)

Internal problem ID [16380]
Book : Ordinary Differential Equations. An introduction to the fundamentals. Kenneth B. Howell. second edition. CRC Press. FL, USA. 2020
Section : Chapter 5. LINEAR FIRST ORDER EQUATIONS. Additional exercises. page 103
Problem number : 5.2 (a)
Date solved : Thursday, October 02, 2025 at 01:27:15 PM
CAS classification : [_quadrature]

\begin{align*} 2 y+y^{\prime }&=6 \end{align*}

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

ode:=diff(y(x),x)+2*y(x) = 6; 
dsolve(ode,y(x), singsol=all);
 

\[ y = 3+{\mathrm e}^{-2 x} c_1 \]

✓ Mathematica. Time used: 0.016 (sec). Leaf size: 20

ode=D[y[x],x]+2*y[x]==6; 
ic={}; 
DSolve[{ode,ic},y[x],x,IncludeSingularSolutions->True]
 

\begin{align*} y(x)&\to 3+c_1 e^{-2 x}\\ y(x)&\to 3 \end{align*}

✓ Sympy. Time used: 0.067 (sec). Leaf size: 10

from sympy import * 
x = symbols("x") 
y = Function("y") 
ode = Eq(2*y(x) + Derivative(y(x), x) - 6,0) 
ics = {} 
dsolve(ode,func=y(x),ics=ics)
 

\[ y{\left (x \right )} = C_{1} e^{- 2 x} + 3 \]