Solved: A hand-held calculator will suffice for through,

Chapter 2, Problem 1P

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QUESTION:

Problem 1P

A hand-held calculator will suffice for Problems through, where an initial value problem and its exact solution are given. Apply the Runge-Kutta method to approximate this solution on the intetval [0, 0.5] with step size h = 0.25. Construct a table showing five-decimal-place values of the approximate solution and actual solution at the points x = 0.25 and 0.5.

y1 = −y, y(0) = 2; y(x) = 2e− x

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QUESTION:

Problem 1P

A hand-held calculator will suffice for Problems through, where an initial value problem and its exact solution are given. Apply the Runge-Kutta method to approximate this solution on the intetval [0, 0.5] with step size h = 0.25. Construct a table showing five-decimal-place values of the approximate solution and actual solution at the points x = 0.25 and 0.5.

y1 = −y, y(0) = 2; y(x) = 2e− x

ANSWER:

Solution:

Step 1 of 5:

In this problem, we have to make a table which contains the approximation and exact solution.

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