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RC network time response

The questions below are due on Wednesday March 04, 2020; 11:59:00 PM.
 
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The switch in the circuit above has been in position A for a long time. Assume the switch moves instantaneously from A to B at t=0.

Enter an expression for dv/dt in terms v, V0, R1, R2, and C.

dv/dt =

Enter an expression for v for t>0.

The graph above shows the voltage, v, over time given that R1=5k\Omega, R2=2k\Omega, V0 = 40V and C=10 \mu F. Please use the graph and the equations you derived above in order to calculate the following values.
V(t=0) =
V(t->\infty) =
t_c =