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  3. 1. consider the following second-order differentia

1. Consider the following second-order differential equation. d^2x/dt^2 + 3 dx/dt + 2x − x^2 =...

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Advance Math

1. Consider the following second-order differential equation.d^2x/dt^2 + 3 dx/dt + 2x − x^2 = 0 (a) Convert the equation into afirst-order system in terms of x and v, where v = dx/dt. (b) Findall of the equilibrium points of the first-order system. (c) Makean accurate sketch of the direction field of the first-ordersystem. (d) Make an accurate sketch of the phase portrait of thefirst-order system. (e) Briefly describe the behavior of thefirst-order system

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Forplotting phase potrait the eigenvector corresponding to theeigenvalue    See Answer
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