Internal problem ID [14052]
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.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_quadrature]
\[ \boxed {-y^{\prime }=-2 x +1} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 12
dsolve((2*x-1)-diff(y(x),x)=0,y(x), singsol=all)
\[ y \left (x \right ) = x^{2}+c_{1} -x \]
✓ Solution by Mathematica
Time used: 0.002 (sec). Leaf size: 7
DSolve[(2*x-1)*y'[x]==0,y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to c_1 \]