69.1.9 problem 9

Internal problem ID [14162]
Book : DIFFERENTIAL and INTEGRAL CALCULUS. VOL I. by N. PISKUNOV. MIR PUBLISHERS, Moscow 1969.
Section : Chapter 8. Differential equations. Exercises page 595
Problem number : 9
Date solved : Tuesday, January 28, 2025 at 06:18:22 AM
CAS classification : [_separable]

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

✓ Solution by Maple

Time used: 0.000 (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*}