78.1.16 problem 2 (b)

Internal problem ID [18071]
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 : 2 (b)
Date solved : Tuesday, January 28, 2025 at 11:25:28 AM
CAS classification : [_quadrature]

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

✓ Solution by Maple

Time used: 0.001 (sec). Leaf size: 8

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

\[ y = \ln \left (x \right )+c_{1} \]

✓ Solution by Mathematica

Time used: 0.002 (sec). Leaf size: 10

DSolve[x*D[y[x],x]==1,y[x],x,IncludeSingularSolutions -> True]
 

\[ y(x)\to \log (x)+c_1 \]