Please help with this question.

Consider the SIR model with the square root dynamics ds = A-US - BVSI, dt dt = BVSI - (u+ 7)I, dR dt = yl - UR, where the total population N(t) = S(t) + I(t) + R(t). (a) Show that the total population N(t) is not constant and determine the population steady state. (b) Use the answer above to determine N(t) explicitly by considering the initial condition N(0) = No. (c) Take A = 0 and set u(t) = \\S(t) and v(t) = VI(t). Write the first two equations of the system above in terms of the new functions u(t) and v(t). (d) Eliminate the variable v(t) from (c) above to obtain a second-order ordinary differential equation