The dynamic equilibrium of a one-story building is described by the following equation: x(t) = xc(t) + X(t) where x(t) displacement in meters, t= time in seconds, xc(t) = e-04t[A cos t +B sin t], is the complementary function, and X(t) is the particular integral %3D (a) Determine the homogeneous second-order DE, assuming X (t) = 0.

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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.