Set of ordinary differential equation
1. Succesive reactions:
𝑘1
𝑘2
Assume you have a following reaction: 𝐴 → 𝐵 → 𝐶:
a) Assuming that all reaction are in the first order, construct appropriate set of ordinary
differential equations (ODE) for concentration of A, B and C
b) Solve those equations using any numerical and analytical solution,
c) Compare analytical and numerical solution, plot the error vs. time
d) Plot the solution using different values of k1, k2.
e) Analyze results (what is the maximum of [B], asymptotic behavior of [A], [B], [C]),
2. Parallel reactions:
a) For given scheme construct set of appropriate ODE,
b) Solve the problem using numerical methods,
c) Plot the solution using different values of k1, k2,k3, k4.
d) Analyze results (what is the maximum of [B] i [C] asymptotic behavior of [A], [B], [C], [D]),
k1
B
k3
D
A
k2
C
k4