Show that for a first-order reaction A B the exit concentration maximum mixedness equation dCAd=kCA+E(A)1-F(A)(CA-CAO) (P17-3.1)

Question:

Show that for a first-order reaction A → B the exit concentration maximum mixedness equation dCAd=kCA+E(A)1-F(A)(CA-CAO) (P17-3.1) is the same as the exit concentration given by the segregation model CA(X)=CA0ek1-F(A) E(t)e-ktdt(P17-3.3) is a solution to Equation (P17-3.1).