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.
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t
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Vt
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dV/dt
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Vn = Vc + dV/dt(Δt)
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0
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3
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2
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5
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1
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5
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0
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3
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2
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4
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0.5
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4
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1.333333
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4.666666667
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1
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4.666667
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