- #1
bengaltiger14
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Is this DE nonlinear?
Determine the order and if this equation is Linear or Nonlinear.
3(d4x/dt4) + 4(dx/dt) + 9x = 3cos(3t)
The d4x is a forth order derivative. Sorry for the messiness.
Ok, this is a 4th order DE. I think it is nonlinear because of the two products (multiplying 4 time the derivative and 4 times the other derivative).
Also, the 3cos(3t) has no bearing on this because t is independent right? If the t was a y, that would cause nonlinearness.
Am I right on all this?
Homework Statement
Determine the order and if this equation is Linear or Nonlinear.
3(d4x/dt4) + 4(dx/dt) + 9x = 3cos(3t)
The d4x is a forth order derivative. Sorry for the messiness.
Ok, this is a 4th order DE. I think it is nonlinear because of the two products (multiplying 4 time the derivative and 4 times the other derivative).
Also, the 3cos(3t) has no bearing on this because t is independent right? If the t was a y, that would cause nonlinearness.
Am I right on all this?