coefficients A variable n(t) is described by a first-order linear differential equation with constant dn(t) T +n(t) = n dt where 7 and no are constants. Let n(0) = no. a) Fort > 0, determine an expression for n(t) in terms of 7, noo, and no. b) Plot n(t) versus t for the following two cases and explain the difference between the two plots: i) no 0, n = 10, T=1, ii) no =0, n = 10, T = 10, c) Plot n(t) versus t for the following two cases and explain the difference between the two plots: = iii) no 10, n = 0, T = 1, iv) no 10, n = 10, 7 = 1, d) Plot n(t) versus t for the following two cases and explain the difference between the two plots: v) no 10, = no 0, 1, vi) no 10, n = 10, T1.