# Recent content by bancux

1. ### Is my work correct?

It is not a homework though I do need some result on this. I have attached a pdf file so that you can have a better view on my problem. Thank you.
2. ### Is my work correct?

Well actually my question is because I am trying to solve the homogeneous part of a 2nd order inhomogeneous differential equation with variable coefficient. Could you give some hints on the Fourier expansion, or any good reference to that? My main goal is to solve the differential equation...
3. ### Is my work correct?

So what is the correct solution?
4. ### Is my work correct?

Homework Statement I need to work on a differential equation. \frac{d^2T}{dx^2} - (m+n\ sin(kx))\ T = 0 Homework Equations Is my work correct? The Attempt at a Solution \frac{d^2T}{dx^2} - (m+n\ sin(kx))\ T = 0 \frac{d}{dx}\left(\frac{dT}{dx} \right) = (m+n\ sin(kx))\ T \int...
5. ### Heat conduction problem with variable temperature

Homework Statement Find the the T(x). See attachment. The top, bottom as well as the left side are adiabatic. The fluid temperature on the side of convective heat transfer is a function of x. The dimension for the width is W. Homework Equations How to find T(x) The Attempt at a...
6. ### Integration of an exponential function

well it starts with a differential equation, I am using the method from a calculus book written by Adams. My idea was to calculate that "unsolvable" integral part with matlab. Thanks for the tips, Out of curiosity, how did you get a solution as a series function?
7. ### Integration of an exponential function

this is the original equation: e^{-a cos wt} \ T(t) = m \int e^{-a cos wt} dt + p \int sin wt \ e^{-a cos wt} I want to have solution for T(t) e^{-a cos wt} \ T(t) = m \int e^{-a cos wt} dt + p e^{-a cos wt} The initial condition is: T(t=0) = T_0
8. ### Integration of an exponential function

Excuse me, but what is IVP?
9. ### Integration of an exponential function

I really do not know how did you get that.. Actually, I got this integral when I try to solve a 1st order inhomogeneous non-linear differential equation with variable coefficients.. So.. I am stuck with that integration. Suppose that your solution is correct, I really do not know how to...
10. ### Integration of an exponential function

Homework Statement I need to integrate the following function: y = \int e^{-\frac{n}{\omega}cos \omega t} dt Homework Equations How should I solve this? Will this lead me to Bessel function? 2. My attempt a=\frac{n}{\omega} u=-a cos (\omega t) du = a\omega sin...