Question: ODE with variable parameter

Hello,

I have some difficulties with the transfert function of a circuit. After a lot of simplification I find this equation:

R*C*diff(v(t),t)+v(t)=i(t) with R=K / i(t)

I have never seen this kind of equation before, I hope someone could help me, google is un-useful to this.
Then, I would solve this for a heavyside and sinusoidale current. How can I make a heavyside with maple ?

Thanks,
Ben

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