Hi,
I have a second order differential equation with a solution in the form:
f(t) = Ae^{t}+Bte^{t}
I want to solve for t, ie. work out for what value of t does the function f(t) have a particular value. But there seems to be no way (that I know of) to do this. Can anyone give me any...
Finally sorted this out. For the benefit of any googlers etc..., the problem is that I just kinda left v_{in} alone (didn't fully appreciate what I was doing), but infact it could be written as v_{in}(s) and then I needed to substitute in the Laplace transform for this, which for a unit step...
I've thought about it some more. Physically it makes sense at t=0 for Vout to be equal to Vin, so the 1/RC term in the laplace version of the equation doesn't make sense. I've also done a SPICE simulation in which the differential equation matches perfectly with the simulated waveform, so the...
Homework Statement
I'm trying to work out the time domain response of a first order high pass RC filter, eg. http://en.wikipedia.org/wiki/File:High_pass_filter.svg
I've got two solutions, one using laplace and one using differential equations, but they are different. One equation must be...