The voltage v of a neuron follows the differential equation over the course of 100 ms, where

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The voltage v of a neuron follows the differential equation
dv -0.01t 1+0.02 dt = 1.0 +

over the course of 100 ms, where t is measured in ms and v in millivolts. We start at v(0) = -70.
a. Sketch a graph of the rate of change. Indicate on your graph the times when the voltage reaches minima and maxima (you don't need to solve for the numerical values).
b. Sketch a graph of the voltage as a function of time.
c. What is the voltage after 100 ms?

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