I'm having trouble imagining a specific portion of a homework problem.
Heres the problem:
"Consider a ligand stabilized gold nanoparticle. The gold nanoparticle itself can be
considered as “box” and the ligands as the “walls”. If the de Broglie wavelength
of the gold...
A voltmeter will be used to measure the voltage vA in the circuit below. Assume that the voltmeter has a resistance of 100[ohms] and a full-scale voltage of 20[V].
a) What will the voltmeter read?
b) What is the percentage error in making this reading?
For the following data, find the least squares fit of the given form
The Attempt at a Solution
So I tried to linearize the equation by taking the natural log of everything...
I wrote the question a little wrong....
Where A is just a regular 2X2 matrix and V is a 2x1 vector.
I already know how to solve systems such as
U'(t)=Au(t) by using the eigenvalues & eigenvectors of A but I haven't learned...
I have a quick question about adding a vector to a system of differential equations.
Like U'(t)= Ax+V
Say A is a 2x2 matrix and V is a 2x1 vector.
Can you all explain how I could handle that V vector? Should somehow include it into A?
Try my way...
The left side is just the product rule. So if you do this:
Then you can do a really simple integration. But you could also do it Dick's way.
You're on the right track.
Remember you have a dx/dt on the left so the equation would be
by turning this into a different notation you get:
So then you can now multiply by the integrating factor and get
Does the left side...