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Consider the initial value problem y' = 3xzy, y(2) = 3 (i) Verify that y = 3ex- is the solution of this initial value problem.

Consider the initial value problem y' = 3xzy, y(2) = 3 (i) Verify that y = 3ex- is the solution of this initial value problem. (3 marks) (ii) Apply Runge-Kutta method of order four to estimate the solution of y(2.02) in two steps. (12 marks)

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