Internal problem ID [5238]
Book: Schaums Outline. Theory and problems of Differential Equations, 1st edition. Frank Ayres.
McGraw Hill 1952
Section: Chapter 4. Equations of first order and first degree (Variable separable). Supplemetary
problems. Page 22
Problem number: 26.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_separable]
\[ \boxed {y^{2}-x^{2} y^{\prime }=0} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 13
dsolve(y(x)^2-x^2*diff(y(x),x)=0,y(x), singsol=all)
\[ y = \frac {x}{c_{1} x +1} \]
✓ Solution by Mathematica
Time used: 0.115 (sec). Leaf size: 21
DSolve[y[x]^2-x^2*y'[x]==0,y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to \frac {x}{1-c_1 x} y(x)\to 0 \end{align*}