What is the Velocity of a Cylinder on an Inclined Plane with a Magnetic Field?

[Delta2]

Ok so I see now if I do a change of variable $X=x-R$ in my equation I get exactly the same equation as yours, up to constants, since the first and second derivative of X will not yield additional terms.

have to check the constants though, my constants will have to be the same as yours if I take $R_y, R_x$ to be just the internal resistances of the voltage sources $E_y,E_x$