73.1.12 problem 2.3 (b)

Internal problem ID [14919]
Book : Ordinary Differential Equations. An introduction to the fundamentals. Kenneth B. Howell. second edition. CRC Press. FL, USA. 2020
Section : Chapter 2. Integration and differential equations. Additional exercises. page 32
Problem number : 2.3 (b)
Date solved : Monday, March 31, 2025 at 01:03:59 PM
CAS classification : [_quadrature]

\begin{align*} y^{\prime }&=20 \,{\mathrm e}^{-4 x} \end{align*}

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

ode:=diff(y(x),x) = 20*exp(-4*x); 
dsolve(ode,y(x), singsol=all);
 

\[ y = -5 \,{\mathrm e}^{-4 x}+c_1 \]

✓ Mathematica. Time used: 0.004 (sec). Leaf size: 15

ode=D[y[x],x]==20*Exp[-4*x]; 
ic={}; 
DSolve[{ode,ic},y[x],x,IncludeSingularSolutions->True]
 

\[ y(x)\to -5 e^{-4 x}+c_1 \]

✓ Sympy. Time used: 0.118 (sec). Leaf size: 10

from sympy import * 
x = symbols("x") 
y = Function("y") 
ode = Eq(Derivative(y(x), x) - 20*exp(-4*x),0) 
ics = {} 
dsolve(ode,func=y(x),ics=ics)
 

\[ y{\left (x \right )} = C_{1} - 5 e^{- 4 x} \]