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Chapter 2.6, Problem 30P

(a)

Program Plan Intro

We are asked to use the Runge-Kutta method on the following differential equation with the initial condition given.

  dvdt=0.0011v|v|9.8,v(0)=49

Specially we are asked to approximate v(t) for this interval 0 t 10.

(b)

Explanation of Solution

Explanation: With the data we have for the velocity we can use this iterative formula to get an approximation for the position

  yn+1=yn+vnh+12f(tn,vn)h2

Now we get table

  ty(t)00143.72275.14395.994106.745107.65698.78780.34852.70916

(b)

Explanation of Solution

Explanation: With the data we have for the velocity we can use this iterative formula to get an approximation for the position

  yn+1=yn+vnh+12f(tn,vn)h2

Now we get table

  ty(t)00143.72275.14395.994106.745107.65698.78780.34852.70916

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Chapter 2 Solutions

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