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please solve any two math. Q1. Solve the following system of linear differential equations: dx dt = -3x + 2y+1 dy dt = 2x -

please solve any two math.

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Q1. Solve the following system of linear differential equations: dx dt = -3x + 2y+1 dy dt = 2x - 3y + 2 Q2. Solve the following linear ordinary differential equation using Laplace Transform: y' + 4y = e-4t, y(0) =2 Q3. Define Fourier Series. Find the Fourier cosine series of the function f(x) = 2x, 0

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