Consider the initial-value problem y = 3x+y, y(0) = 5. Calculate the first step only (i.e., y₁) of the numerical solution using (i) the forward Euler method, (ii), the Improved Euler Method and (iii) the Runge-Kutta method of order 4, all with h = 0. 1. Compare the approximations with the true values by calculating the simple errors true - approx.

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