Internal problem ID [14877]
Book: INTRODUCTORY DIFFERENTIAL EQUATIONS. Martha L. Abell, James P. Braselton.
Fourth edition 2014. ElScAe. 2014
Section: Chapter 4. Higher Order Equations. Chapter 4 review exercises, page 219
Problem number: 56.
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type [[_Emden, _Fowler]]
\[ \boxed {x^{2} y^{\prime \prime }+7 y^{\prime } x +8 y=0} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 15
dsolve(x^2*diff(y(x),x$2)+7*x*diff(y(x),x)+8*y(x)=0,y(x), singsol=all)
\[ y \left (x \right ) = \frac {c_{1} x^{2}+c_{2}}{x^{4}} \]
✓ Solution by Mathematica
Time used: 0.01 (sec). Leaf size: 18
DSolve[x^2*y''[x]+7*x*y'[x]+8*y[x]==0,y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to \frac {c_2 x^2+c_1}{x^4} \]