Recent content by sugarplum31

Homework Statement Show that the group {U(7), *} is isomorphic to {Z(6), +} Homework Equations The Attempt at a Solution I drew the tables for each one. I can see that they are the same size and the identity element for U7 is 1, and for Z6 is 0. I don't really see any...

Homework Statement We are given the following LaPlace Transformations and we are to find g(t) and h(t). L(g)(t) = 1/[(1-e^(-2s))(s-1)] L(h)(t) = (e^-s)/s(1-e^-s) Homework Equations By looking at the Table of LaPlace Transformations, the only one I found that could possibly work...

Homework Statement A mass of 5 kilograms dangles from a spring, stretching the spring centimeters when in equilibrium. The mass oscillates vertically in a fluid, with a frictional force times its speed. If initially it starts from rest at an extension below the equilibrium point of...

thank you so much. sometimes i just need to talk through it with someone!

We just started 2nd Order Linear Homogeneous Diff Eq. I just finished a bunch of problems such as : y'' + 2y' - 5y = 0 I'm guessing I'm supposed to get these equations to look something like that. Is the numerical equation then: 40 d^2I/dt^2 + 1/.005 I + 240 dI/dt = 0 If so, writing...

not sure... I am an education major and I think they allowed me into the wrong differential equations class! I have no idea what I am doing. In the book it says that they are all typical RLC circuits? That is all I know. Do I use the equations L dI/dt + 1/C Q + RI = E I = dQ/dt...

1. A circuit contains an inductance of 40 henrys, a capacitance of .005 farads and a resistance of 240 ohms and is driven by a constant voltage of 60 volts. Given that the initial charge in the system is 5000 Coulombs and the initial current is zero amperes, discuss the subsequent behavior of...