Let Yt be the Ito diffusion with generator Af x xf x 2x 2f
Let Yt be the Ito diffusion with generator A(f )(x) = xf \'(x) + 2x 2f \'\' (x).
Assume Y0 = y R+.
Find Yt .
Solution
considering f(x)=y and solving it as a ordinary differential equation as follows
