how to solve equation which is time derivative with space variation in matlab?

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i want to solve equation as below :
Cc, Cd- variable varies with time and z direction.
a1 a2 a3 are parameter which can be found out from Cc(z)
dCc(z)/dt = a1*(Cc(z-1) - Cc(z))/dz + a2 + a3;
b1 b2 b3 are parameter which can be found out from Cd(z)
dCd(z)/dt = b1*(Cd(z-1) - Cd(z))/dz + b2 + b3;
how to solve it simultaneously?

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