Question

Two chemicals, A and B, are mixed together in a vat. Chemical A turns into chemical B at a certain rate, k1. Meanwhile the reverse reaction also occurs, with B turning back to A at a different rate, k2. If xA stands for the quantity of chemical A, and xB stands for B, then this system is described by:

dxA = −k1xA + k2xB (2) dt

dxB =k1xA−k2xB. (3) dt

a) By taking derivatives, show that xA satisfies a second order ODE. b) Obtain the general solution for xA(t).

Answer 1

Do rate the solution.Thanks!