1. Solve the system of ODEs dx1 2x1 + 4x2 dt dx 2 = 3x] - 6x2 dt with initial condition r, (0) = 1,
1. Solve the system of ODEs dx1 2x1 + 4x2 dt dx 2 = 3x] - 6x2 dt with initial condition r, (0) = 1, x2(0) = 0. Plot the solution x(t) for t > 0 as a curve on the 21-22 plane. 2. Find the corresponding compartment diagram for the following sys- tem of differential equations. Then analyze the stability of equilibrium (0, 0). dx1 -3.x1 + 0.2.12 dt dx2 = 3x1 - 0.4x2. dt
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