Need help with this problem...

If a population is changed by either immigration or emigration, a model for the population is dy/dt= Ky +f(t) f(t) = -2t where y is the population at time t and f(t) is some function of t that describes the net effect of the emigration/immigration. Assume that k = 0.02 and y(0) = 10,000. Solve this differential equation for y, given that

	y = 100t + 5000 + 5000e-0.02t
	y = 100t + 5000 + 5000e0.02t
	y = -100t + 5000 + 5000e-0.02t
	y = -100t - 5000 + 5000e0.02t