Question: Consider the system of coupled second-order differential equations u - (t + 1)uv + v' = cost vi= u+ uv with initial conditions u(0) =

Consider the system of coupled second-order differential equations u" - (t + 1)uv + v' = cost vi= \\u+ uv with initial conditions u(0) = 2, u'(0) = 1, v(0) = 3, v'(0) = -1. Use the second-order Runge-Kutta method with h = 0.2 and a = 2/3, b = 1/3, a = B = 3/2, to find u, u', V and v' at t = 0.2

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