16.1.1 problem 2(a)

Internal problem ID [3403]
Book : Elementary Differential Equations, Martin, Reissner, 2nd ed, 1961
Section : Exercis 2, page 5
Problem number : 2(a)
Date solved : Tuesday, March 04, 2025 at 04:37:45 PM
CAS classification : [_quadrature]

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

✓ Maple. Time used: 0.002 (sec). Leaf size: 9

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

\[ y \left (x \right ) = 2 x +c_{1} \]

✓ Mathematica. Time used: 0.002 (sec). Leaf size: 11

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

\[ y(x)\to 2 x+c_1 \]

✓ Sympy. Time used: 0.042 (sec). Leaf size: 7

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

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