Differential Equations - Second Order Elementary Application

Please help!!! :( I need it before midnight strikes. It's for my hhomework but I'm having a hard time. Thank you.

1. For a parallel RLC circuit, R = 1/3 ohms, C = 0.5 farads, and L = 2/13 henrys. If the
current source of the circuit produces i(t) = 20e^(–3t)sin 2t, find the voltage v at any time t
if v(0) = 2 and v’(0) = 1.5.

2. For a series RLC circuit, R = 4 ohms, C = 0.25 farads, and L = 2 henrys. If the voltage
source of the circuit produces v(t) = 6e
–tcos t, find the current i at any time t if i(0) = 4
and i’(0) = 1.

02 - Time for the thermometer reading to drop to within half degree of the air temperature

Problem 02
A thermometer reading 75 degree Fahrenheit is taken out where the temperature is 20 degree Fahrenheit. The thermometer reading is 30 degree Fahrenheit 4 minutes later. Find the time (in minutes) taken for the reading to drop from 75 degree Fahrenheit to within half degree of the air temperature.