Question

Use the classical Runge-Kutta method of order two, Mid-point method, Ralston's method to solve the initial value problem y' =y - t^2 +1, y(0) = 0.5 and 0 ≤ t ≤ 3 to approximate y(0.72), y(0.72+0.72), y(0.(3×72 )), y(0.(4×72)).

Answer 1

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