Fnd solution of the system plot p0t with h1 02 04 08

Question

Assignment -

(1) While constructing numerical scheme the goal is to have P₀(t) + P^{^}₁(t) = 4.

(2) N = 100, Δt = 0.5, μ(x) = 0.8  

Find solution of the system & plot P₀(t), with h₁ = 0.2, 0.4, 0.8 & constant repair rate μ = 0.8.

(3) Probability P₁(x, t) of the device in failed state with an elapsed repair time X. Plot. (Use h₁ = 0.8, μ = 0.8).

(4) Prob. - P₁(t) of device in failed state h₁ = 0.2, 0.4, 0.8, μ = 0.8.

(5) Probability P₀(t) of the device in good state with h₁ = 0.2, 0.4, 0.8

Δμ = α/β(α/β)^α-1

α = 2, β = 10

Note - Discretization in space followed by use of ODE45 solver to solve the time dependent ODEs.

Attachment:- Assignment File.rar