Recent content by Gyges

I am confused because derivative is ##\frac{d}{dx'}## but we have ##f(x)dx## and ##(x-x')## in integral, can you show me an example. Maybe not directly my problem but another example similar that can help me to understand. Thanks.

\phi(x')=b\frac{\sin kx'}{k}+a\cos kx'+\int_{0}^{x'}\frac{\sin k(x-x')}{k} f(x)dx I take the first and second derivative of RHS as follows 1st derivative \frac{d}{dx'}(b\frac{\sin kx'}{k}+a\cos kx'+\int_{0}^{x'}\frac{\sin k(x-x')}{k} f(x)dx)=b\cos...

I checked it now, which bundle or bundles you use? And if it shows the steps can you please post it? Finally, as I have not seen bundle output yet, it will be highly appreciated, if someone can show me that, \phi(x')=b\frac{\sin kx'}{k}+a\cos kx'+\int_{0}^{x'}\frac{\sin k(x-x')}{k} f(x)dx is...

Thank your for reply, this was a part of question, and I wanted to share the part I completed. So you could comment if it is wrong and if it is correct maybe it can be helpful for someone else. I checked again and it seems that I didn't make any typing error, question maybe be wrong and I will...

Hello everyone, I have just signed up and I am student at physics department. Thank you all for creating this great forum.

Homework Statement [/B] I'm trying to show that, \phi(x')=b\frac{\sin kx'}{k}+a\cos kx'+\int_{0}^{x'}\frac{\sin k(x-x')}{k} f(x)dx is the solution of, \frac{d^{2}}{dx'^{2}}\phi(x')+k^{2}\phi(x')=f(x')dx where 0 \leq x'<\infty. 2. Homework Equations N/A The Attempt at a Solution [/B]...