50.8.16 problem 2(h)

Internal problem ID [7932]
Book : Differential Equations: Theory, Technique, and Practice by George Simmons, Steven Krantz. McGraw-Hill NY. 2007. 1st Edition.
Section : Chapter 1. What is a differential equation. Problems for Review and Discovery. Page 53
Problem number : 2(h)
Date solved : Monday, January 27, 2025 at 03:33:12 PM
CAS classification : [_separable]

\begin{align*} \frac {1}{y}-\frac {x y^{\prime }}{y^{2}}&=0 \end{align*}

✓ Solution by Maple

Time used: 0.001 (sec). Leaf size: 7

dsolve(1/y(x)-x/y(x)^2*diff(y(x),x)=0,y(x), singsol=all)
 

\[ y = c_{1} x \]

✓ Solution by Mathematica

Time used: 0.035 (sec). Leaf size: 9

DSolve[1/y[x]-x/y[x]^2*D[y[x],x]==0,y[x],x,IncludeSingularSolutions -> True]
 

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