Solve a numerical method, Solve a numerical method

Solve a numerical method

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Reference no: EM1317833

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	5
0	3	2	4
0.5	4	1.333333	4.666666667
1	4.666667

Reference no: EM1317833

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