Find the general solution of the system x'(t) = Ax(t) for the given matrix A A = x(t) = T 2 9 5 9
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- convert the given system of differential equations to a first-order linear system. dx/dt - ty = cost ; d2y/dt2 - dx/dt + x = etYou are given a pair of differential equations: (dx/dt) = 1 - y, (dy/dt) = x2 - y2 1. Find all of the equilibrium of these equations 2. Classify each equilibrium point of this non-linear system as far as possible by considering the Jacobian matrixSolve the system of linear DE by elimination with initial conditions
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