Long cylindrical solenoid is filled with non-isotropic paramagnetic material with magnetic susceptibility x-ar² where r - distance from the solenoid's axis, a is a constant. Magnetic field on solenoid's axis is Bo. (Note: Magnetic field off-axis is not the same given that susceptibility is non-uniform.) Find magnetization M(r) and density of volume bound current Jo(r) inside the solenoid as a function of distance r.

Long cylindrical solenoid is filled with non-isotropic paramagnetic material with magnetic susceptibility x-ar² where r - distance from the solenoid's axis, a is a constant. Magnetic field on solenoid's axis is Bo. (Note: Magnetic field off-axis is not the same given that susceptibility is non-uniform.) Find magnetization M(r) and density of volume bound current Jo(r) inside the solenoid as a function of distance r.