Graphing the given function using graphing utility

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Graphing the given function using the graphing utility.

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: EM1317720

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