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Adaptive second order Runge method to solve 𝑑𝑌 𝑑𝑥 = −𝑌 − 5 𝑒 −𝑥 sin(5𝑥) 𝑌(0) = 1 On the interval [0,3] with Tol=10−𝑘 , k=1,…6 ( the exact solution 𝑌(𝑥) = 𝑒 −𝑥 cos(5𝑥) ) Write one paragraph to discuss the six plots

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For the numerical solution of a given differential equation using adaptive Runge-Kutta method in interval [0, 3] with accuracy 10-k for...

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