78.1.1 problem 1 (a)

Internal problem ID [18056]
Book : DIFFERENTIAL EQUATIONS WITH APPLICATIONS AND HISTORICAL NOTES by George F. Simmons. 3rd edition. 2017. CRC press, Boca Raton FL.
Section : Chapter 1. The Nature of Differential Equations. Separable Equations. Section 2. Problems at page 9
Problem number : 1 (a)
Date solved : Tuesday, January 28, 2025 at 11:23:32 AM
CAS classification : [_quadrature]

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

✓ Solution by Maple

Time used: 0.000 (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]
 

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