The second-order Adams-Bashforth method for the integration of a single first-order differential equation is dx dt...

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The second-order Adams-Bashforth method for the integration of a single first-order differential equation is dx dt = f(t, x) Xn+1 = Xn+h[3f(tns Xn) - f(tn-1, Xn-1)] Write down the appropriate equations for applying the same method to the solution of the pair of differential equations dx dt =fi(t, x, y), dx dt dy Hence find the value of X(0.3) for the initial-value problem (= f(t, x, y) 2 dx dx + x = sin t, x(0) = 0, (0) = 1 dt dt using this Adams-Bashforth method with step size h = 0.1. Use the second-order predictor-corrector method for the first step to start the computation. The second-order Adams-Bashforth method for the integration of a single first-order differential equation is dx dt = f(t, x) Xn+1 = Xn+h[3f(tns Xn) - f(tn-1, Xn-1)] Write down the appropriate equations for applying the same method to the solution of the pair of differential equations dx dt =fi(t, x, y), dx dt dy Hence find the value of X(0.3) for the initial-value problem (= f(t, x, y) 2 dx dx + x = sin t, x(0) = 0, (0) = 1 dt dt using this Adams-Bashforth method with step size h = 0.1. Use the second-order predictor-corrector method for the first step to start the computation.

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