35.7.10 problem 16 (a)

Internal problem ID [6192]
Book : Mathematical Methods in the Physical Sciences. third edition. Mary L. Boas. John Wiley. 2006
Section : Chapter 8, Ordinary differential equations. Section 7. Other second-Order equations. page 435
Problem number : 16 (a)
Date solved : Monday, January 27, 2025 at 01:47:17 PM
CAS classification : [[_Emden, _Fowler]]

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

✓ Solution by Maple

Time used: 0.007 (sec). Leaf size: 15

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

\[ y = \frac {c_{1} x^{4}+c_{2}}{x^{3}} \]

✓ Solution by Mathematica

Time used: 0.014 (sec). Leaf size: 16

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

\[ y(x)\to \frac {c_1}{x^3}+c_2 x \]