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The answer depends on how the body is moving:

  • in 2-dimensional space or 3-d,
  • in a straight line or not
  • at a constant velocity of not
  • at a constant acceleration or not.

For example, the equation for a body moving in simple harmonic motion is

d2y/dx2 = -w2*x

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Q: What is a differential equation that describe a motion of a body?
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What is the euler's equation of motion?

Euler's equation of motion relates the net torque acting on a rigid body to its angular acceleration and moment of inertia. It is expressed as: Στ = Iα, where Στ is the net torque acting on the body, I is the moment of inertia, and α is the angular acceleration.


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