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Problem Four (12 Marks) Use Runge Kutta method of order four to approximate the solution of...

Problem Four

Use Runge Kutta method of order four to approximate the solution of the initial value problem

?′ + 2? = ??3?, 0 ≤ ? ≤ 1, ?(0) = 0, ???ℎ ℎ = 0.5

Hint: Compute ?(0.5) ??? ?(1)

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