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How to know that linear differential equation is time invariant or time variant?
If the coefficients of the linear differential equation are dependent on time, then it is time variant otherwise it is time invariant. E.g: 3 * dx/dt + x = 0 is time invariant 3t * dx/dt + x = 0 is time variant
What is invariant in mathematics?
It is a part of a mathematical object which does not change when the object undergoes a transformation.
What is invariant about the angles of a quadrilateral?
they all add to 360 degrees and opposite angles are the same
What is averaging principle?
In a perturbed system, writing the equations of motion in a form where the contribution of fast variables is replaced by their average on the corresponding invariant torus.
How fast in in Mach would you have to go to make it 442 miles in one minute?
Mach velocities are all relative to the speed of sound in that gas, at that density. Mach 1 = the speed of sound. Mach 2 = twice the speed of sound. It does not have an invariant conversion into miles per minute.
