74.1.8 problem 12

Internal problem ID [15788]
Book : INTRODUCTORY DIFFERENTIAL EQUATIONS. Martha L. Abell, James P. Braselton. Fourth edition 2014. ElScAe. 2014
Section : Chapter 1. Introduction to Differential Equations. Exercises 1.1, page 10
Problem number : 12
Date solved : Tuesday, January 28, 2025 at 08:07:14 AM
CAS classification : [_quadrature]

\begin{align*} 2 x -1-y^{\prime }&=0 \end{align*}

✓ Solution by Maple

Time used: 0.003 (sec). Leaf size: 12

dsolve((2*x-1)-diff(y(x),x)=0,y(x), singsol=all)
 

\[ y = x^{2}+c_{1} -x \]

✓ Solution by Mathematica

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

DSolve[(2*x-1)*D[y[x],x]==0,y[x],x,IncludeSingularSolutions -> True]
 

\[ y(x)\to c_1 \]