We know that the asymptotic degree distribution of pq(t, N) (as N 00) of Price's model...

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We know that the asymptotic degree distribution of pq(t, N) (as N 00) of Price's model can be described by the following differential equation (see [Newman, 2018] and class slides): For T < 1: dq(T) dT C c+a [(q 1 + a) q-1(7) - (q+) T(T)], for q>1; - ca To(T), for q = 0. c+a Boundary condition, for T = 1: 0, for q>1; q (1) = 1, for q=0. See class slides for the definitions of the variables. Show that the solution of the above yields () (q+a) - 7a/(c+a) (1 7c/(c+a)), q 0. F(q+1)(a) - We know that the asymptotic degree distribution of pq(t, N) (as N 00) of Price's model can be described by the following differential equation (see [Newman, 2018] and class slides): For T < 1: dq(T) dT C c+a [(q 1 + a) q-1(7) - (q+) T(T)], for q>1; - ca To(T), for q = 0. c+a Boundary condition, for T = 1: 0, for q>1; q (1) = 1, for q=0. See class slides for the definitions of the variables. Show that the solution of the above yields () (q+a) - 7a/(c+a) (1 7c/(c+a)), q 0. F(q+1)(a) -