dy dy +11 + 30y = 0 (y is the position) dt2 dt (i) Rewrite the equation as a system of first order equations for a vector Y (v is the velocity) and evaluate the associated vector field at 2 (ii) Find two nonzero solutions of the differential equation that are not multiples of one another by seeking them in the form y(t) = est (),

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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.