The following is suppose to be coded using the programming language MAPLE. If you could type the code for both of these problems I would greatly appreciate it.

1. Describe the motion of a Spring-Mass-Damping problem with forced oscillations. The plot should be based on the following conditions:

a. A 16 pound object stretches a spring 32 feet

b. Damping is equal to the instantanous velocity

c. Forcing function is f(t)=e^-tlnt

d. c₁=-1 (the coefficient for the pure exponential term) and c₂=3

e. The window for your plot: 0

f. Title the plot:'Solution to Forced Oscillations>'

2. Find the charge on the capacitor in an LRC series circuit. The plot should be based upon the following conditions:

g. Inductance is 0.5 henrys

h. Resistance is 10 ohms

i. Capacitance is 0.01 farads

j. Impressed voltage is 150 volts

k. c₁=-1/2 and c₂=-1/2

l. The window for your plot: 0.2

m. Title the plot: 'Solution to LRC Circuit>'