84.5.3 problem 3.1 (c)

Internal problem ID [22090]
Book : Schaums outline series. Differential Equations By Richard Bronson. 1973. McGraw-Hill Inc. ISBN 0-07-008009-7
Section : Chapter 3. Classification of first-order differential equations. Solved problems. Page 11
Problem number : 3.1 (c)
Date solved : Thursday, October 02, 2025 at 08:23:50 PM
CAS classification : [_quadrature]

\begin{align*} y^{\prime }&=5 \end{align*}

✓ Maple. Time used: 0.000 (sec). Leaf size: 9

ode:=diff(y(x),x) = 5; 
dsolve(ode,y(x), singsol=all);
 

\[ y = 5 x +c_1 \]

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

ode=D[y[x],x]==5; 
ic={}; 
DSolve[{ode,ic},y[x],x,IncludeSingularSolutions->True]
 

\begin{align*} y(x)&\to 5 x+c_1 \end{align*}

✓ Sympy. Time used: 0.017 (sec). Leaf size: 7

from sympy import * 
x = symbols("x") 
y = Function("y") 
ode = Eq(Derivative(y(x), x) - 5,0) 
ics = {} 
dsolve(ode,func=y(x),ics=ics)
 

\[ y{\left (x \right )} = C_{1} + 5 x \]