67.4.22 problem 5.3 (b)

Internal problem ID [16391]
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 : 5.3 (b)
Date solved : Thursday, October 02, 2025 at 01:27:31 PM
CAS classification : [_quadrature]

\begin{align*} y^{\prime }-3 y&=6 \end{align*}

With initial conditions

\begin{align*} y \left (0\right )&=-2 \\ \end{align*}

✓ Maple. Time used: 0.015 (sec). Leaf size: 5

ode:=diff(y(x),x)-3*y(x) = 6; 
ic:=[y(0) = -2]; 
dsolve([ode,op(ic)],y(x), singsol=all);
 

\[ y = -2 \]

✓ Mathematica. Time used: 0.001 (sec). Leaf size: 6

ode=D[y[x],x]-3*y[x]==6; 
ic={y[0]==-2}; 
DSolve[{ode,ic},y[x],x,IncludeSingularSolutions->True]
 

\begin{align*} y(x)&\to -2 \end{align*}

✓ Sympy. Time used: 0.069 (sec). Leaf size: 5

from sympy import * 
x = symbols("x") 
y = Function("y") 
ode = Eq(-3*y(x) + Derivative(y(x), x) - 6,0) 
ics = {y(0): -2} 
dsolve(ode,func=y(x),ics=ics)
 

\[ y{\left (x \right )} = -2 \]