An initial-value problem of the well-know Van der Pol SDOF oscillator is specified as follows: x-μ(1-x2)x+x=f(t)
x(0)=x0 x(0)=v0
Note that this is a nonlinear system for which a closed-form solution is generally not available and a numerical solution becomes necessary.
1: Reformulate the problerm in the state-space. Wihat is the corresponding IVP in the state-space?
2: Calculate x(t) and v(t)() for the following data: and compare the results with the exact solution in this special case.
μ=0 f(t)=0 x0=2 v0=0

You drop a rubber ball off the roof of a 50 meter high building onto a paved parking lot. it bounces back up with every bounce, but not quite all the way back up to you. after the first bounce it bounces back only 80 percent of the distance it was dropped from. the pattern continues, meaning after every bounce it comes up to just 80 percent of the previous maximum height. so if before the first bounce the height is 50 meters, what height does the ball reach after the fifth bounce? round your answer to one decimal place and chose the correct response from the choices below:

How do i do this activity, is appreciated

Which of the following is missing in the explicit formula for the compound interest geometric sequence below?