Consider the following linear second-order homogeneous differential equation with constant coefficients and two initial conditions d²y(t) dt2 1 dy(t) 3 dt 2 dy(0) gy(t) = 0, y(0) = 0, (10) = -3. dt Showing the details of your work, solve this differential equation!

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A: It is linear.

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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.