\[ y(x) \left (4 k x-4 m^2-x^2+1\right )+4 x^2 y''(x)=0 \] ✓ Mathematica : cpu = 0.0120468 (sec), leaf count = 20
DSolve[(1 - 4*m^2 + 4*k*x - x^2)*y[x] + 4*x^2*Derivative[2][y][x] == 0,y[x],x]
\[\{\{y(x)\to c_1 M_{k,m}(x)+c_2 W_{k,m}(x)\}\}\] ✓ Maple : cpu = 0.064 (sec), leaf count = 17
dsolve(4*x^2*diff(diff(y(x),x),x)-(-4*k*x+4*m^2+x^2-1)*y(x)=0,y(x))
\[y \left (x \right ) = c_{1} \WhittakerM \left (k , m , x\right )+c_{2} \WhittakerW \left (k , m , x\right )\]