Question: Differential Equations The differential equation dix + 32 x - 36 cos 2t= 0 at 2 2 2 represent the damped harmonic oscillations of a

Differential Equations

The differential equation dix + 32 x - 36 cos 2t= 0 at 2 2 2 represent the damped harmonic oscillations of a particle . At time = 0 , the particle is at a distance of 1 cm from the origin and its speed away from the origin is 2 cm/s a Solve the initial value problem Find the time that the particle will be at the greatest distance from the origin c) Find the greatest distance from the origin (15 marks

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