A damped harmonic oscillator is described by the equation y" + In(3)y' + (1000x)²y=0 Observe that this oscillator is very weakly damped, that is, the amplitude changes very little in one period of the oscillation. In fact, the periods are very short because the frequency is very high the system goes back and forth almost 500 times in I unit of time Suppose that around t = 0, the amplitude of the oscillation is 12 What is the amplitude %3D around t = 2?

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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.