44.2.29 problem 29

Internal problem ID [6961]
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. Section 1.2 Initial value problems. Exercises 1.2 at page 19
Problem number : 29
Date solved : Monday, January 27, 2025 at 02:38:49 PM
CAS classification : [_separable]

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

With initial conditions

\begin{align*} y \left (0\right )&=0 \end{align*}

Solution by Maple

Time used: 0.006 (sec). Leaf size: 7

dsolve([x*diff(y(x),x)=y(x),y(0) = 0],y(x), singsol=all)
 
\[ y = c_{1} x \]

Solution by Mathematica

Time used: 0.001 (sec). Leaf size: 6

DSolve[{x*D[y[x],x]==y[x],{y[0]==0}},y[x],x,IncludeSingularSolutions -> True]
 
\[ y(x)\to 0 \]