Solution to Lesson 3

Solution:

if d/dt(q₁) = k₁₂(q₂) - k₂₁(q₁) and d/dt(q₂) = k₂₁(q₁) - k₁₂(q₂), then

where c₁,c₂, c₃, & c₄and d₁, d₂, d₃, & d₄ = f(k₁₂, k₂₁) and the initial conditions.
For a detailed example click here

B.3-b

Solution:

if d/dt(q1) = k12(q2) - k21(q1) and d/dt(q2) = k21(q1) - k12(q2), then

where c1,c2, c3, & c4 and d1, d2, d3, & d4 = f(k12, k21) and the initial conditions. For a detailed example click here

if d/dt(q₁) = k₁₂(q₂) - k₂₁(q₁) and d/dt(q₂) = k₂₁(q₁) - k₁₂(q₂), then

where c₁,c₂, c₃, & c₄and d₁, d₂, d₃, & d₄ = f(k₁₂, k₂₁) and the initial conditions.
For a detailed example click here