Homework Statement
Solve the piecewise linear ODE, y' - y = f(x), y(0) = 1, where
f(x) = 1 when 0<=x<=1 and f(x) = -1 when x > 1.
y(2) = ?
Homework Equations
None
The Attempt at a Solution
I found the integrating factor to be e^-x and multiplied both sides of the equation by the...
Right, so first I combined the 6ohm resistors on each side into 12 ohm resistors. Then I redrew the circuit into deltas/triangles. This allowed me to find Rab by taking the 12 ohm on the right in parallel with the 6 ohm on the bottom half of the midsection. Then I took that equivalent resistor...
Homework Statement
Determine the equivalent resistance of this circuit.
http://img444.imageshack.us/img444/5137/19910965.png
The Attempt at a Solution
So I realize that both of the 6 ohm resistors on each side are in series with each other. However, I am stuck after that part since I do...
How would one go about solving for one variable for an implicit Euler's method such as this:
I am completely lost...all I know is the value of U and dT
Un+1 = Un + (dU/dT)|n+1dT
Vn+1 = Vn + (dV/dT)|n+1dT
My confusion lies with HOW biological clocks would slow down if the slowed passage of time on a light clock is based on the fact that the light must take a longer path to mark off a second. A biological clock would not involve light traveling a longer path...and does not involve anything...
Recently I've watched a few videos and read over some explanations of time dilation and am quite confused by several aspects.
In the video I watched, the clock tracked time by a beam of light bouncing between two metal plates, incrementing one second per touch of the bottom plate. The path of...