44.3.6 problem 12

Internal problem ID [6987]
Book : A First Course in Differential Equations with Modeling Applications by Dennis G. Zill. 12 ed. Metric version. 2024. Cengage learning.
Section : Chapter 1. Introduction to differential equations. Review problems at page 34
Problem number : 12
Date solved : Monday, January 27, 2025 at 02:39:55 PM
CAS classification : [[_2nd_order, _missing_y]]

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

✓ Solution by Maple

Time used: 0.003 (sec). Leaf size: 11

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

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

✓ Solution by Mathematica

Time used: 0.010 (sec). Leaf size: 17

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

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