A 1500 gallon tank intially contains 600 gallons of water with 5 lbs of salt dissolved in it. Water enters the tank at a rate of 9gal/hr and the water entering the tank has a salt concentration of lbs/gal . Given the follow first order differential equation that satisfies the above conditions and knowing that Q represents the amount of salt at any time t find the following

dQ/dt+2Q=9/5t

a. the transient solution Qtran(t)

b. the steady state solution of the flow Qss(t)

c. the total flow Q(t) given that Q(0)=5

d. if the tank overflows at 300 hours, how much salt is left in the tank