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(a) Find the general solution of the following 2nd order ODE using method of undetermined coefficients: v + 4y' - 2y = 2x- - 3x

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(a) Find the general solution of the following 2nd order ODE using method of undetermined coefficients: v" + 4y' - 2y = 2x- - 3x + 6. (Marks: 16) (b) Show the following functions are linearly independent or not. 5 sinx cosx, 2 sin2x (x > 0) (Marks: 2) 0, sinh nx (x > 0)

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