73.1.10 problem 2.2 (j)

Internal problem ID [14988]
Book : Ordinary Differential Equations. An introduction to the fundamentals. Kenneth B. Howell. second edition. CRC Press. FL, USA. 2020
Section : Chapter 2. Integration and differential equations. Additional exercises. page 32
Problem number : 2.2 (j)
Date solved : Tuesday, January 28, 2025 at 07:27:05 AM
CAS classification : [[_2nd_order, _missing_y]]

\begin{align*} x^{2} y^{\prime \prime }+3 x y^{\prime }&=0 \end{align*}

✓ Solution by Maple

Time used: 0.004 (sec). Leaf size: 11

dsolve(x^2*diff(y(x),x$2)+3*x*diff(y(x),x)=0,y(x), singsol=all)
 

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

✓ Solution by Mathematica

Time used: 0.025 (sec). Leaf size: 17

DSolve[x^2*D[y[x],{x,2}]+3*x*D[y[x],x]==0,y[x],x,IncludeSingularSolutions -> True]
 

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