1. For the following systems of differential equations: (i) Find the general solution. (ii) Plot the...
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1. For the following systems of differential equations: (i) Find the general solution. (ii) Plot the phaseportrait and characterize the equilibrium. (iii) Choose an initial condition x(0) in the phase plane, and sketch the components r(t) and y(t) of the corresponding solution x(t) vs t, in two additional plots. (a) x² = (1-1¹) x x' 1. For the following systems of differential equations: (i) Find the general solution. (ii) Plot the phaseportrait and characterize the equilibrium. (iii) Choose an initial condition x(0) in the phase plane, and sketch the components r(t) and y(t) of the corresponding solution x(t) vs t, in two additional plots. (a) x² = (1-1¹) x x'
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