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categoryالرياضيات schoolبكالوريوس event_available2026-07-15

السؤال

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Apply the standard RK4 method to the following initial value problem: d²y d12 24 + 2y = e²t sin t dt 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 y₁ = y dy 12 = dt Give the approximations w₁ and w₂ of y₁ and y₂ in t = 1. Use 16 digits in your calculations and give the answers with at least 5 significant digits w₁(1) = W₂(1) =

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