Internal problem ID [14715]
Book: INTRODUCTORY DIFFERENTIAL EQUATIONS. Martha L. Abell, James P. Braselton.
Fourth edition 2014. ElScAe. 2014
Section: Chapter 4. Higher Order Equations. Exercises 4.7, page 195
Problem number: 6.
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type [[_Emden, _Fowler]]
\[ \boxed {9 x^{2} y^{\prime \prime }-9 y^{\prime } x +10 y=0} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 21
dsolve(9*x^2*diff(y(x),x$2)-9*x*diff(y(x),x)+10*y(x)=0,y(x), singsol=all)
\[ y \left (x \right ) = x \left (c_{1} \sin \left (\frac {\ln \left (x \right )}{3}\right )+c_{2} \cos \left (\frac {\ln \left (x \right )}{3}\right )\right ) \]
✓ Solution by Mathematica
Time used: 0.026 (sec). Leaf size: 28
DSolve[9*x^2*y''[x]-9*x*y'[x]+10*y[x]==0,y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to x \left (c_2 \cos \left (\frac {\log (x)}{3}\right )+c_1 \sin \left (\frac {\log (x)}{3}\right )\right ) \]