Q3. (15 marks) Consider the following system of linear differential equation: dx = 4x + y dt dy = 3x + 2y dt with x(0) =

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Q3. (15 marks) Consider the following system of linear differential equation: dx = 4x + y dt dy = 3x + 2y dt with x(0) =

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Q3 15 Marks Consider The Following System Of Linear Differential Equation Dx 4x Y Dt Dy 3x 2y Dt With X 0 1
Q3 15 Marks Consider The Following System Of Linear Differential Equation Dx 4x Y Dt Dy 3x 2y Dt With X 0 1 (57.57 KiB) Viewed 23 times
Q3. (15 marks) Consider the following system of linear differential equation: dx = 4x + y dt dy = 3x + 2y dt with x(0) = 6, y(0) = 2 = (a) Find a solution to this initial value problem. (b) Sketch the phase portrait of this system. Plot the straight-line solutions and clearly label these solutions. (You are allowed to use pplane or other software for help) (c) Analyse the behaviour of solution near the equilibrium point (sink/source/saddle).
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