4. A dynamic system is represented by a second order linear differential equation. d²x dx + 5- 3x = 0 dt2 dt The initial conditions are given as: dx when t = 0, x = 4 and dt = 9. %3D Solve the differential equation and obtain the output of the system x(t) as a function of t.

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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.