dx dt =ax+by dy dt =−x − y, 2. As the values of a and b are changed so that the point (a,b) moves from one region to another, the type of the linear system changes, that is, a bifurcation occurs. Which of these bifurcations is important for the long-term behavior of solutions? Which of these bifurcations corresponds to a dramatic change in the phase plane or the x(t)and y(t)-graphs?

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Initial value problem : Differential equations: dx/dt = x + 2y dy/dt = 2x + y...

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dx dt =ax+by dy dt =−x − y, 2. As the values of a and b...