60.3.164 problem 1168

Internal problem ID [11174]
Book : Differential Gleichungen, E. Kamke, 3rd ed. Chelsea Pub. NY, 1948
Section : Chapter 2, linear second order
Problem number : 1168
Date solved : Monday, January 27, 2025 at 10:47:46 PM
CAS classification : [[_2nd_order, _missing_y]]

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

✓ Solution by Maple

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

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

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

✓ Solution by Mathematica

Time used: 0.025 (sec). Leaf size: 15

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

\[ y(x)\to c_2-\frac {c_1}{x} \]