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Apply the standard RK4 method to the following initial value problem: 2t- +2y =+ Int y(1) =1 y'(1) =0 with a step size of h

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Apply the standard RK4 method to the following initial value problem: 2t- +2y =+ Int y(1) =1 y'(1) =0 with a step size of h = 0.25 in the interval [1, 2] Start by transforming this second order differential equation into a system of first order differential equations by using the variables MI=V Give the approximations to1 and wiz of y1 and yz in t = 2. Use 16 digits in your calculations and give the answers with at least 5 significant digits w1 (t = 2) = 0.272362115687649 wa (t = 2) = -1.091279470740761

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