60.3.142 problem 1146

Internal problem ID [11152]
Book : Differential Gleichungen, E. Kamke, 3rd ed. Chelsea Pub. NY, 1948
Section : Chapter 2, linear second order
Problem number : 1146
Date solved : Monday, January 27, 2025 at 10:47:07 PM
CAS classification : [[_Emden, _Fowler]]

\begin{align*} x^{2} y^{\prime \prime }-6 y&=0 \end{align*}

✓ Solution by Maple

Time used: 0.004 (sec). Leaf size: 15

dsolve(x^2*diff(diff(y(x),x),x)-6*y(x)=0,y(x), singsol=all)
 

\[ y = \frac {c_{1} x^{5}+c_{2}}{x^{2}} \]

✓ Solution by Mathematica

Time used: 0.011 (sec). Leaf size: 18

DSolve[-6*y[x] + x^2*D[y[x],{x,2}] == 0,y[x],x,IncludeSingularSolutions -> True]
 

\[ y(x)\to \frac {c_2 x^5+c_1}{x^2} \]