Dynamic viscosity is related to external force applied on the fluid, mostly for non-newtonian fluid.
Kinematic viscosity is the inherent viscosity of a fluid under the influence of gravity only, mostly for newtonian fluids.
Mathematically,
Dynamic viscosity, (?) given as,
F/A = ? (du/dy)
F/A here is shear stress acting parallel to the flow
du/dy is the velocity gradient.
Kinamatic viscosity, (?) given as,
? = ?/p
p is density
I think this will help!