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Correct physics of C14 example #768

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Jan 22, 2025
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Correct physics of C14 example #768

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10 changes: 5 additions & 5 deletions docs/src/examples/classical_physics.md
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Expand Up @@ -15,24 +15,24 @@ using OrdinaryDiffEq, Plots
gr()

#Half-life of Carbon-14 is 5,730 years.
C₁ = 5.730
t½ = 5.730

#Setup
u₀ = 1.0
tspan = (0.0, 1.0)
tspan = (0.0, 30.0)

#Define the problem
radioactivedecay(u, p, t) = -C₁ * u
radioactivedecay(u, p, t) = -log(2) / t½ * u

#Pass to solver
prob = ODEProblem(radioactivedecay, u₀, tspan)
sol = solve(prob, Tsit5())

#Plot
plot(sol, linewidth = 2, title = "Carbon-14 half-life",
xaxis = "Time in thousands of years", yaxis = "Percentage left",
xaxis = "Time in thousands of years", yaxis = "Ratio left",
label = "Numerical Solution")
plot!(sol.t, t -> exp(-C₁ * t), lw = 3, ls = :dash, label = "Analytical Solution")
plot!(sol.t, t -> 2^(-t / t½), lw = 3, ls = :dash, label = "Analytical Solution")
```

## Second Order Linear ODE
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