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  3. 4 there is given the system of equations 12 2...

Question: 4 there is given the system of equations 12 2...

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4. There is given the system of equations: 1.2 2, 1 a) To decide, if there is an isolated equilibrium point. and to determinate its coordinates. b) To deternine the fundamental system of equations and the general solution of the given system. c) To determine the maximal solution of the Cauchys problem for the given system with the initial condition X(0) 2,0]. To determine the interval of the maximal solution. d) To determine the type of the equilibrium point. To compute the tangent vector 7 to the phase trajectory of the maximal solution at the point [2,0] and to sketch the part of the trajectory of the maxinal solution in the neighbourhood of the given point

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