90.1.8 problem 19

Internal problem ID [25032]
Book : Ordinary Differential Equations. By William Adkins and Mark G Davidson. Springer. NY. 2010. ISBN 978-1-4614-3617-1
Section : Chapter 1. First order differential equations. Exercises at page 13
Problem number : 19
Date solved : Thursday, October 02, 2025 at 11:47:38 PM
CAS classification : [_quadrature]

\begin{align*} y^{\prime }&=3 y+12 \end{align*}

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

ode:=diff(y(t),t) = 3*y(t)+12; 
dsolve(ode,y(t), singsol=all);
 

\[ y = -4+{\mathrm e}^{3 t} c_1 \]

✓ Mathematica. Time used: 0.019 (sec). Leaf size: 20

ode=D[y[t],{t,1}]== 3*y[t]+12; 
ic={}; 
DSolve[{ode,ic},y[t],t,IncludeSingularSolutions->True]
 

\begin{align*} y(t)&\to -4+c_1 e^{3 t}\\ y(t)&\to -4 \end{align*}

✓ Sympy. Time used: 0.076 (sec). Leaf size: 10

from sympy import * 
t = symbols("t") 
y = Function("y") 
ode = Eq(-3*y(t) + Derivative(y(t), t) - 12,0) 
ics = {} 
dsolve(ode,func=y(t),ics=ics)
 

\[ y{\left (t \right )} = C_{1} e^{3 t} - 4 \]