(See Solution) The motion of a set of particles moving along the x-axis is governed by the differential equation (dx)/(dt)=t^3-x^3 where x(t) denotes the position
Question: The motion of a set of particles moving along the x-axis is governed by the differential equation
\[\frac{dx}{dt}={{t}^{3}}-{{x}^{3}}\]where \(x\left( t \right)\) denotes the position at time t of the particle
- If a particle resides at x = 1 when t = 2, what is the velocity of the particle?
- Derive the acceleration of the particle denoted by \(\frac{{{d}^{2}}x}{d{{t}^{2}}}\) as a function of x and t .
Deliverable: Word Document 
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(See) Given the following initial value differential equation:
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