Consider the functions y, = e3t cos(2t) and y, = e3t sin(2t). Do these functions form a fundamental set? If yes, find a linear differential equation for which y, and y2 form a fundamental set. If not, prove that y, and y2 cannot form a fundamental set for any linear differential equation. %3D

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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.