Recent content by jey1234

Never mind. I just realized I can verify by seeing if my solution satisfies the given system. And it does. So I guess that means my soultion is correct. :)

Homework Statement Solve this system of differential equations \begin{equation} x'_1=5x_1 + 2 x_2 - x_3 \\ x'_2=-2x_1 + x_2 - 2x_3 \\ x'_3=-6x_1 - 6 x_2 \end{equation} Homework Equations The Attempt at a Solution This is my first time solving a problem like this and I just...

Sometimes I find "getting rid" of the fraction helpful for seeing the solution. Basically multiply both sides by the denominator (of the RHS) and expand. Then you collect like terms and everything else is easy.

Hi guys, in my college we have this "Independent Study" component for the Intro Linear Algebra class. Basically, I have to solve 4 questions that go beyond what was covered in class. Sadly, being the procrastinator I am, I haven't looked at it until now and the assignment is due Friday. The...

I followed you until ("the only squares mod 4 are 0,1"). I don't understand what you mean by that. Could you please elaborate? Thanks.

Homework Statement I'm doing a lab report and the last question is, how would your measurements (currents and voltages across each resistor) be affected if the resistance of the wires is 0.01 Ω and the internal resistance of the voltmeter is 10 MΩ? Homework Equations The Attempt at a...

I came across a problem like this (not homework) x^2+y^2-k For example, x^2+y^2-24 \text{ ,n=4} x^2+y^2-45 \text{ ,n=8} If x and y are any positive integers (not given) and k is a positive integer (given), is this expression divisible by n (a positive integer that is given). A...

Thanks you. That's more clear. :)

Homework Statement I'm having trouble figuring out where exactly the battery is and if it's connected in series or parallel when the diagrams are given like in the image below. The book gives this description for the diagram. I don't really understand it. In other words how can I...

Thank you guys. I think I understand it better now after doing many similar problems. I just "followed the wires" :)

Could you please elaborate? Thanks.

Do not think of it as a dynamics problem with forces (i.e. you don't need an angle). This is a conservation of energy problem. The work you put into the moving the piano up 1.73 m turns into potential energy. If we think of it in reverse, the potential energy of the piano afterwards is equal to...

What frogjg said. The Pythagorean Theorem says that when you have a right angled triangle like the one in your picture. The length of the longest side squared is equaled to the sum of the squares of the shorter sides. Mathematically, (if "a" is the hypotenuse and "b" and c" are the shorter...

Simplifying "Complex" Resistor Circuits Homework Statement Question 1: I have an E&M test coming up and I'm having trouble simplifying complex circuits. Our teacher told us something about "pinching" the wires which I didn't really understand. I found the following link...

I just tried it. It does the same thing as {align}. They're aligned about the "=" signs but the "=" signs aren't centered. Thanks anyways.