RL Circuit Current: Over Time, Initial I(0)=1

[Boba Fet]

An RL circuit has L=5, R = 200, Vin =100t. Suppose the initial current through the circuit is I(0)=1.

a) find the current through the inductor. b) sketch it. Find the voltage through the Inductor. c) Sketch it

I feel like it know how to do this but I am getting a linear function which doesn't seem right to me

 

[Simon Bridge]

What sort of function are you expecting and why? (Please show your working.)
Have you checked LR circuits coursework, notes, or theory anywhere?
ie - do you know the differential equation the circuit is supposed to satisfy?