Internal problem ID [13817]
Book: Ordinary Differential Equations. An introduction to the fundamentals. Kenneth B. Howell.
second edition. CRC Press. FL, USA. 2020
Section: Chapter 25. Review exercises for part III. page 447
Problem number: 19.
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type [[_Emden, _Fowler]]
\[ \boxed {x^{2} y^{\prime \prime }+2 y^{\prime } x -30 y=0} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 15
dsolve(x^2*diff(y(x),x$2)+2*x*diff(y(x),x)-30*y(x)=0,y(x), singsol=all)
\[ y \left (x \right ) = x^{5} c_{1} +\frac {c_{2}}{x^{6}} \]
✓ Solution by Mathematica
Time used: 0.01 (sec). Leaf size: 18
DSolve[x^2*y''[x]+2*x*y'[x]-30*y[x]==0,y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to \frac {c_1}{x^6}+c_2 x^5 \]