57.1.4 problem 4

Internal problem ID [8988]
Book : First order enumerated odes
Section : section 1
Problem number : 4
Date solved : Wednesday, March 05, 2025 at 07:13:50 AM
CAS classification : [_quadrature]

\begin{align*} y^{\prime }&=1 \end{align*}

✓ Maple. Time used: 0.002 (sec). Leaf size: 7

ode:=diff(y(x),x) = 1; 
dsolve(ode,y(x), singsol=all);
 

\[ y = x +c_{1} \]

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

ode=D[y[x],x]==1; 
ic={}; 
DSolve[{ode,ic},y[x],x,IncludeSingularSolutions->True]
 

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

✓ Sympy. Time used: 0.032 (sec). Leaf size: 5

from sympy import * 
x = symbols("x") 
y = Function("y") 
ode = Eq(Derivative(y(x), x) - 1,0) 
ics = {} 
dsolve(ode,func=y(x),ics=ics)
 

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