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Systems of Differential Equations : Equilibrium Points and Initial Conditions

Consider the system:

dx/dt = x+2y+1
dy/dt = 3y

(a) Derive a general solution

(b) Find equilibrium points of the system

(c) Find the solution that satisfies the initial condition x(0) = -1, y(0) = 3.

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Systems of Differential Equations, Equilibrium Points and Initial Conditions are investigated. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question.

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