Write the jacobian matrix for the following system at t_0. A B (1) BC (2) B+C D

Write the jacobian matrix for the following system at t_0.

 

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A B (1) BC (2) B+C D (3) Which is described by the following differential equations: d[A] dt d[B] dt d[C] dt d[D] dt = = -k[A] = k[A]-k[B]+k_2[C]-k3 [B][C] = k[B]-k_2[C] - K3 [B][C] = k3[B][C] At your operating conditions, = [A] [B]o 6.14 x10-8 mol cm [C]o [D]o 0 mol cm k = 1.9 x10-11 s-1 k2k-2-3.0 x10-8 $1 k3 3x108 cmmol = A B (1) BC (2) B+C D (3) Which is described by the following differential equations: d[A] dt d[B] dt d[C] dt d[D] dt = = -k[A] = k[A]-k[B]+k_2[C]-k3 [B][C] = k[B]-k_2[C] - K3 [B][C] = k3[B][C] At your operating conditions, = [A] [B]o 6.14 x10-8 mol cm [C]o [D]o 0 mol cm k = 1.9 x10-11 s-1 k2k-2-3.0 x10-8 $1 k3 3x108 cmmol =