50.1.1 problem 1(a)

Internal problem ID [7773]
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)
Date solved : Monday, January 27, 2025 at 03:21:39 PM
CAS classification : [_quadrature]

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

✓ Solution by Maple

Time used: 0.001 (sec). Leaf size: 9

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

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

✓ Solution by Mathematica

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

DSolve[D[y[x],x]==2*x,y[x],x,IncludeSingularSolutions -> True]
 

\[ y(x)\to x^2+c_1 \]