Recent content by Tricky557

Homework Statement Working on some Laplace transforms, and my lack of knowledge of some properties of exponential functions is coming back to bite me(again). I'm stuck trying to figure out if: e^(-pi*s) - e^(-2pi*s) = e^(-pi*s - (-2pi*s)) Is a true statement or not. I've searched...

Thanks for the help!

Yes, sorry about that. I did mean to write: e^(14*ln(x)) I was thinking, that if I equated some random variable(say y) to e^(14ln(x)), then I could just solve that equation. y= e^(14*ln(x)) lny= 14lnx lny = 14lnx lny = ln(x^14) e^ of both sides y = x^14The part of that I am unsure about...

Homework Statement I'm just not sure what the answer to this is. I think it's an identity for e^x and ln, but I've never had a course that dealt with e^x or logs. So I don't know. What is the answer to e^14ln(x)? It's part of a larger problem, but I can't get the rest of it done until I...

The problem statement: Find the largest interval in which the solution of the following initial value problem is valid: cos(t/3)y'' +(6t^2)y' + ((t-5)^-3)y = 0 Initial conditions: y(1) = 1 y'(1)= 3 I have a few questions concerning this problem. I've converted it to it's...

Determining what value "y" will approach eventually I'm having a bit of trouble with an equilibrium problem. The autonomous equation given is: y' = (2y+8)(y-3)(y-8)^3 The first task is to find and classify the stability of each equation, which I've done. Points: y=-4, y=3, y=8...