Second order differential equation:

Solve the following second order differential equation with PYTHON.

I would like to see y versus x plot as a solution of the given equation.

y'' + (2/x)y' -100y = 0

The solution should be provided for x in the range [0,1] and y in the range[0.1]

the boundary condition are:

x=0 y'=0

and

x=1 y=1

y in Range [0,1]