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Question 1 A. Solve x" + 6x' + 5x = 0, x'(0) = 1, x(0) = 2 B. Solve x" + 6x' + - x = 0, x'(0) = 1, x(0) = 2 C. Solve x" + 6x' + 9x = 0, x'(0) = 1, x(0) = 2 D. Solve x" + 6x' + 3x = 0, x'(0) = 1, x(0) = 2 E. A spring has a mass of 2 units, a damping constant of 6 units, and a spring constant of 30.5 units. If the spring is extended 2 units and then released with a velocity of 2 units answer the following. a) Write the differential equation with the initial values. b) Find the displacement at time t = 2 c) Find the velocity at time t = 2 d) What is the limit of x(t) as tend tends to infinity? F. A RLC circuit has L = 1 unit, R = 6 units, and C - 1/5 units with E' (t) = 0. Given that I'(0) = 1 unit and I (0) = 2 units answer the following. a) Write the differential equation with the initial values. b) Find the current I when t = 2 c) What is the limit of I(t) as tend tends to infinity

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