solve multiple implicit coupled equations?

How can I solve this system of equations?
I0=-1*a+b*(exp(v0/c)-1);
I1=-2*a+b*(exp(v0/c)+exp(v1/c)-2);
I2=-3*a+b*(exp(v0/c)+exp(v1/c)+exp(v2/c)-3);
v0=v1+I0*R;
v1=v2+I1*R;
v2=v3+I2*R;
where v3=-0.1:0.01:0.5

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2016-1-20

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