Recent content by Umayer

x = \pm\sqrt{\frac{2}{3}t^3+2t} -2 The constant is zero. It is tricky indeed.

Thanks allot guys I've found the answer.

Homework Statement The equation: \frac{dx}{dt}=\frac{t^2+1}{x+2}. Where the initial value is: x(0) = -2. Homework Equations I believe you have to use the method of seperations of variables. The Attempt at a Solution So I multiplied both sides with x+2. Then I integrated...

Homework Statement Actually I figured it out, I forgot to put a minus when calculating the determinant. But I'll write down the matrix. This is the matrix given: \begin{pmatrix} 1 & 1 & 2\\ 4 & 0 & 2\\ -2 & 1 & 1 \end{pmatrix} So when determining the eigenvalues the matrix will become...

Homework Statement I was doing this practice exam and I had to calculate the eigenvalues en vectors. The matrix had two eigenvalues, I calculated one eigenvector. But when I was performing row operations for the second eigenvector, the matrix with the second eigenvalue substitued became an...

I did thought of doing that way but I felt that it would take more time doing that method plus my book and my teacher never showed doing that way. But thanks for showing that it's possible to work with imaginary numbers!

The discriminant is a negative number so it cannot be factorised. At least to my knowledge.

Yes now I see it, thanks!

You mean like this? \frac{s+1}{(s+1)^2+2^2} - \frac{1}{(s+1)^2+2^2} The inverse laplace of the first term would be I think then: e^{-t}*cos(2t) But I'm not so sure what to do then since I don't recognize the term in the table, would is be something like this? - \frac{0s+1}{(s+1)^2+2^2} So...

Homework Statement I have some problem finding the inverse laplace transformation of the function: \frac{s}{s^2+2s+5} Homework Equations http://math.fullerton.edu/mathews/c2003/laplacetransform/LaplaceTransformMod/Images/Table.12.2.jpg The Attempt at a Solution I tried to...

Thanks alot!

Homework Statement The sample question explains how I can use superposition to determine the slope and deflection of the beam. I have made a picture of the page. I know how to use the method as I've used it on other, much difficult problems. However, this sample problem has been stuck in my...