A vibrational system consisting of a mass m = 1/4 slug attached to the spring 2.5lb/f t is modelled by the following ordinary differential equation d²y dy + 5 - + 6y = 7 sin 4t. dt2 Find the general solution of the above differential equation, using the method of undetermined coefficients.

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.