A mass weighing 24 pounds stretches a spring 4 feet. The mass is initially released from rest at a point 2 feet below the equilibrium position, and the subsequent motion takes place in a medium that gives a damping force numerically equal to two times the instantaneous velocity. Find the equation of motion if the mass is driven by an external force f (1) = 4cos 3t.

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Matrices

‘Matrices’ is the plural form of the word matrix, and it is basically a spreadsheet in the form of a box. In mathematics, various functions can be carried out with matrices. Generally, a matrix comes in the shape of a square or rectangle. The elements are distributed horizontally in the form of rows, and vertically in the form of columns.