Recent content by ns5032

Homework Statement I am just trying to do partial fraction decomposition on an equation. I'm not too good with it, as far as knowing if I need just A or Ax+B, etc. [e^(-2s) / (s^2+1)(s-1)(s+1)^2] Homework Equations The Attempt at a Solution I'm not quite sure how to work with the...

Homework Statement [e^(-2s)] / (s^2+s-2) Find the inverse Laplace transform. Homework Equations The Attempt at a Solution I know that I can factor the denominator into (s+2)(s-1). Then I tried to use partial fractions to split up the denominator, but I don't know how to do that...

Do the inverse transform without it? Like... just take that whole term out and treat it like it is zero?

My goodness.. I have not come across an inverse Laplace transform like this. My teacher let's us just use a chart to figure them out, but this is definitely not on there. How do I find the inverse Laplace transform of: { (1/2)+[(5e^-6s)/(4s^2)] } / (s+5) I already used partial fractions to...

Got it. Thank you everyone.

Homework Statement I would just like some help on how to find the integral of: sin(x) / cos(x)^2 Homework Equations integration by parts? uv-integral of v(du) The Attempt at a Solution I tried using integration of parts with u = cos(x)^2 and dv = sin(x) but I just got...

Well I started with only 3 equations, but under "attempt at the solution" I did what you said and got a 4th equation. So now I have 4 equations with 4 variables which should work, but when I use matrices in my calculator, it won't solve it.

Homework Statement Well, I am in the middle of solving a (quite difficult) differential equation using the Method of Undetermined Coefficients, and have finally come across a system of equations and I need to solve for A(sub 1), or (A1), (A2), (B1), and (B2), but I cannot figure out how to...

Does it mean anything in particular about the transformation if the determinant of a transformation matrix is 1?

You know as well as I do. The problem I am given states: "Given a linear transformation given by the matrix equation: (x',y') = (x,y) (a specific 2x2 matrix with some number b included, which I will leave out for now), show that this transformation has order 3, no matter what b is."

I have a specific 2 by 2 matrix, but obviously I don't want the answer to my actual problem, so can someone just explain to me the general process of finding the order of a 2x2 matrix??

Well if I do integration by parts, the cos switches back and forth between sin and cos, and the e^(t/3) stays in there every time... I don't know what I'm doing wrong... u = e^(t/3) du = (1/3)e^(t/3) v = (1/3)sin(3t) dv = cos(3t) so then it's: uv- integral of v*du...

The integral I need help with is: integral of: [3e^(t/3)]*cos(3t) I know that I can pull out the 3 in front of the integral, but after that what??

I'm in the middle of a LONG problem and came across a part where I need to do this integral: integral of: e^[(cos(t)-t)/5] Please help!

How do I find the integral of: 1/[9.8 - (1/245)v^2]