Internal problem ID [5352]
Book: Differential Equations: Theory, Technique, and Practice by George Simmons, Steven Krantz.
McGraw-Hill NY. 2007. 1st Edition.
Section: Chapter 1. What is a differential equation. Section 1.2 THE NATURE OF SOLUTIONS.
Page 9
Problem number: 1(a).
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_quadrature]
Solve \begin {gather*} \boxed {y^{\prime }-2 x=0} \end {gather*}
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 9
dsolve(diff(y(x),x)=2*x,y(x), singsol=all)
\[ y \relax (x ) = x^{2}+c_{1} \]
✓ Solution by Mathematica
Time used: 0.003 (sec). Leaf size: 11
DSolve[y'[x]==2*x,y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to x^2+c_1 \\ \end{align*}