69.2.17 problem 37

Internal problem ID [17981]
Book : A book of problems in ordinary differential equations. M.L. KRASNOV, A.L. KISELYOV, G.I. MARKARENKO. MIR, MOSCOW. 1983
Section : Section 2. The method of isoclines. Exercises page 27
Problem number : 37
Date solved : Thursday, October 02, 2025 at 02:31:57 PM
CAS classification : [_quadrature]

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

✓ Maple. Time used: 0.000 (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]
 

\begin{align*} y(x)&\to x+c_1 \end{align*}

✓ Sympy. Time used: 0.016 (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)
 

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