71.1.18 problem 32

Internal problem ID [14327]
Book : Ordinary Differential Equations by Charles E. Roberts, Jr. CRC Press. 2010
Section : Chapter 1. Introduction. Exercises page 14
Problem number : 32
Date solved : Tuesday, January 28, 2025 at 06:26:42 AM
CAS classification : [[_2nd_order, _missing_y]]

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

✓ Solution by Maple

Time used: 0.002 (sec). Leaf size: 11

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

\[ y = c_{2} x^{2}+c_{1} \]

✓ Solution by Mathematica

Time used: 0.024 (sec). Leaf size: 17

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

\[ y(x)\to \frac {c_1 x^2}{2}+c_2 \]