7.8.33 problem 55

Internal problem ID [247]
Book : Elementary Differential Equations. By C. Henry Edwards, David E. Penney and David Calvis. 6th edition. 2008
Section : Chapter 2. Linear Equations of Higher Order. Section 2.1 (Introduction. Second order linear equations). Problems at page 111
Problem number : 55
Date solved : Monday, January 27, 2025 at 02:42:56 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: 0.001 (sec). Leaf size: 10

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

\[ y = c_2 \ln \left (x \right )+c_1 \]

✓ Solution by Mathematica

Time used: 0.023 (sec). Leaf size: 13

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

\[ y(x)\to c_1 \log (x)+c_2 \]