44.3.1 problem 7

Internal problem ID [6982]
Book : A First Course in Differential Equations with Modeling Applications by Dennis G. Zill. 12 ed. Metric version. 2024. Cengage learning.
Section : Chapter 1. Introduction to differential equations. Review problems at page 34
Problem number : 7
Date solved : Monday, January 27, 2025 at 02:39:46 PM
CAS classification : [_quadrature]

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

✓ Solution by Maple

Time used: 0.000 (sec). Leaf size: 9

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

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

✓ Solution by Mathematica

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

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

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