Internal problem ID [6296]
Book: Differential Equations: Theory, Technique, and Practice by George Simmons, Steven
Krantz. McGraw-Hill NY. 2007. 1st Edition.
Section: Chapter 2. Second-Order Linear Equations. Section 2.1. Linear Equations with Constant
Coefficients. Page 62
Problem number: 5(d).
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type [[_Emden, _Fowler]]
\[ \boxed {4 x^{2} y^{\prime \prime }-3 y=0} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 15
dsolve(4*x^2*diff(y(x),x$2)-3*y(x)=0,y(x), singsol=all)
\[ y \left (x \right ) = \frac {c_{2} x^{2}+c_{1}}{\sqrt {x}} \]
✓ Solution by Mathematica
Time used: 0.01 (sec). Leaf size: 20
DSolve[4*x^2*y''[x]-3*y[x]==0,y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to \frac {c_2 x^2+c_1}{\sqrt {x}} \]