Internal problem ID [12591]
Book: Ordinary Differential Equations by Charles E. Roberts, Jr. CRC Press. 2010
Section: Chapter 1. Introduction. Exercises page 14
Problem number: 32.
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type [[_2nd_order, _missing_y]]
\[ \boxed {x^{2} y^{\prime \prime }-y^{\prime } x=0} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 11
dsolve(x^2*diff(y(x),x$2)-x*diff(y(x),x)=0,y(x), singsol=all)
\[ y \left (x \right ) = c_{1} x^{2}+c_{2} \]
✓ Solution by Mathematica
Time used: 0.041 (sec). Leaf size: 17
DSolve[x^2*y''[x]-x*y'[x]==0,y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to \frac {c_1 x^2}{2}+c_2 \]