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Solving on numerical method - Euler methods
Apply Euler's method to the following differential equation to estimate the solution at t = 1 starting from the given initial condition. First use one step with Δt = 1, and then use two steps with Δt = .5. Compare with the exact solution w(t) = 2ln(1 + t) + 3.
dw/dt = 2/(1+t), with initial condition w(0) = 3.
t
Vt
dV/dt
Vn = Vc + dV/dt(Δt)
0
3
2
5
1
4
0.5
1.333333
4.666666667
4.666667
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