Internal problem ID [8314]
Book: Collection of Kovacic problems
Section: section 1
Problem number: 843.
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type [[_2nd_order, _quadrature]]
\[ \boxed {y^{\prime \prime }=0} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 9
dsolve(diff(y(x),x$2)=((4*(1/2)^2-1)/(4*x^2))*y(x),y(x), singsol=all)
\[ y \left (x \right ) = x c_{1} +c_{2} \]
✓ Solution by Mathematica
Time used: 0.002 (sec). Leaf size: 12
DSolve[y''[x]==((4*(1/2)^2-1)/(4*x^2))*y[x],y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to c_2 x+c_1 \]