I don't actually know what you mean by your last paragraph. How would you would the small bleed tube operate as a level sensor? Can you please explain how something like that might work?
I am trying to design a water vessel system that maintains it's water level as it is consumed.
In item 1. It's a simple water barometer, where the height of water in the column can be supported by atmospheric pressure until 10.34.
In item 2. There are two columns that are open to atmosphere...
Homework Statement
An enclosed chamber with sound absorbing walls has a 2.0 m × 1.0 m opening for an outside window. A loudspeaker is located outdoors, 46 m away and facing the window. The intensity level of the sound entering the window space from the loudspeaker is 42 dB. Assume the acoustic...
Thank you!
So you would run the central difference formula with 2, 1, 0.5.
then for
we would use f(2) and f(1) , and then again with f(1), f(0.5)?
Maybe what confuses me is when they say "calculate the TRE of the last estimate", its just the second of two estimates calculated using
Is it...
Homework Statement
[/B]
use richardson extrapolation to estimate the first derivative y=ln(x), x=5 using steps of 2, 1, 0.5. Four decimal points. obtain true relative error for the last estimate and comment on its value.
Homework Equations
[/B]
deriv ln(x)=1/xThe Attempt at a Solution
I know...
Okay, I work this out to y_1=1/4 and y_2=1/2...
which seems to fit in the equation... but I am still not really sure why the coefficients for the e^(-4t) don't seem to match the solution
Homework Statement
Consider the initial value problem for the system of first-order differential equations
y_1' = -2y_2+1, y_1(0)=2
y_2' = -8y_1+2, y_2(0)=-1
If the matrix
[ 0 -2
-8 0 ]
has eigenvalues and eigenvectors L_1= -4 V_1= [ 1...
Homework Statement
If the method of undetermined coefficients is used to find a particular solution
yp (t) to the differential equation y'''-y'=te^(-t)+2cos(t) should
have the form: ?Homework EquationsThe Attempt at a Solution
LHS
r^3-r=0
roots= 0, 1
y_c(t)=c_1e^tRHS
te^(-t)+2cos(t)...