Homework Statement
Let pascal(n,i) be the value of the ith element of the nth row of Pascal's triangle. Using induction show that the number of unique paths from entry {0,0} to entry {n,i} in Pascal's triangle is equal to pascal(n,i).
The Attempt at a Solution
The base case n=1 seems easy...
Hey Everyone,
The circuit I am interested in is attached. I was just looking for a little input to help me start this problem. As the title states I am just looking to find the -3dB frequency of this circuit.
Point me in the right direction :)
I am going to get a scope on it tonight. I was reading up on some motor control stuff earlier and it sounded like I might need a diode in reverse parallel to my clutch and one from ground to my gate due to the inductive nature of the motor/clutch. Any thoughts on that?
Would it be worth my...
The current is way below what the FET should be capable of. I believe each clutch should pull no more than 2 Amps. On the other hand I do not have any heat sink on the MOSFETs, is that something that will definitely be needed?
The weirdest thing about this is that I had this working once...
Hello Everyone,
I am working on a system for an undergraduate project that uses pulse width modulation to power two electromagnetic clutches. I have a pic microcontroller that is supplying a PWM signal to a MOSFET that is in turn switching the ground side of my clutches.
Everything seems...
Homework Statement
Solve the D.E.:
6xy - y3 = (3xy2-3x2-4y)y'
Not really looking for much here. I am just not sure what method I should use to solve this.
Also how would you use Laplace Transforms to solve this tx'' + (3t-1)x' + 3x =0?
Thanks,
Rob
Homework Statement
In one of my labs for a circuit analysis class we are told to design a simple DC power supply. The power supply will have three outputs, +4.5V, -4.5V, and an adjustable output from 0-11V. I have already done most of this and the question I have is could you design this so...
Hey office_Shredder,
I am reasonably familiar with using the Wronskian to show that functions are linearly independent. I am more used to this form:
Where if W = 0 is true on an open interval I then the functions are linearly independent.
I don't completely understand the wronskian...
Really? I am able to open it just fine. Can anyone else open this?
EDIT: I take that back. It works for me in Chrome but not Firefox. I will upload it somewhere else and fix my post.
Homework Statement
Hey Everyone,
Here is a problem from my book that has my confused. I really don't understand what it wants me to do so if anyone could give me a few hints it would be greatly appreciated.
I am doing problem 34, but I included 33 since it wanted to follow the same method...
Homework Statement
The equation \frac{dy}{dx} = A(x)y2+B(x)y+C(x) is called a Riccati equation. Suppose that one particular solution y1(x) of this equation is known. Show that the substitution
y = y1+\frac{1}{v}
transforms the Riccati equation into the linear equation
\frac{dv}{dx}+...
Hey Mark,
Thanks for the suggestion, I see what you are saying but let me ask this.
I have a problem here where I needed to change a triple integral from cylindrical coordinates to Cartesian. I have attached an image of the problem and the solution. When I went to solve it I sketched the...