Apply the standard RK4 method to the following initial value problem: P dt du 2+2y= e...

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Apply the standard RK4 method to the following initial value problem: P dt du 2+2y= e sint y(0)=-0.4 y' (0) 0.6 with a step size of h = 0.25 in the interval [0,1] Start by transforming this second order differential equation into a system of first order differential equations by using the variables Y Y dy Y2 dt Give the approximations w and w of y1 and y2 in t=1. Use 16 digits in your calculations and give the answers with at least 5 significant digits w(1)= W(1) Apply the standard RK4 method to the following initial value problem: P dt du 2+2y= e sint y(0)=-0.4 y' (0) 0.6 with a step size of h = 0.25 in the interval [0,1] Start by transforming this second order differential equation into a system of first order differential equations by using the variables Y Y dy Y2 dt Give the approximations w and w of y1 and y2 in t=1. Use 16 digits in your calculations and give the answers with at least 5 significant digits w(1)= W(1)