71.7.9 problem 13

Internal problem ID [14430]
Book : Ordinary Differential Equations by Charles E. Roberts, Jr. CRC Press. 2010
Section : Chapter 2. The Initial Value Problem. Exercises 2.3.3, page 71
Problem number : 13
Date solved : Tuesday, January 28, 2025 at 06:30:50 AM
CAS classification : [_separable]

\begin{align*} y-x y^{\prime }&=0 \end{align*}

✓ Solution by Maple

Time used: 0.002 (sec). Leaf size: 7

dsolve(y(x)-x*diff(y(x),x)=0,y(x), singsol=all)
 

\[ y = c_{1} x \]

✓ Solution by Mathematica

Time used: 0.022 (sec). Leaf size: 14

DSolve[y[x]-x*D[y[x],x]==0,y[x],x,IncludeSingularSolutions -> True]
 

\begin{align*} y(x)\to c_1 x \\ y(x)\to 0 \\ \end{align*}