Recent content by noppakhuns

I'm pretty sure that apart from accomodation if you manage how to spend and cook on your own you'll spend only around 10,000 yen ( about 70-80 dollars) per month in Japan. Will you survive with 70-80 dollars in the U.S.?

I'm studying Japanese and I can understand simple chinese sentenese, korean (if chinese characters are used). It's really enjoyable to study the characters. If I have time, I want to know about 10,000 characters.

So... Which departments are good at mathematical Physics, especially in Calculus of Variations and Relativity?

What level of differential equations?

I think it is the matter of what you can accept. If you are ready to change your mind about what you are told before, this course should not be hard to handle.

Does anyone know about fileds of theoretical physics?

The detrminant of the coefficient matrix is equal to zero. Since the matrix is singular, the system is inconsistent.

Does anyone know whether there is any university having researches on General Relativity itself, not its application in Astrophysics? If so, what mathematics do I need rather than differential geometry?

The four solutions have to be linearly independent and you may prove the solutions for characteristic equations with repeated roots by reducing the order. Set up the condition as you know the first solution for a homogeneous equation, then solve for another by using y2=u(x)y1, substute in and...

The angular frequency is equal to omega, and the ammplitude is equal to A.

The logarithmic functions are increasing functions if the base is larger than 1. That's why this integral is improper.

If y1 is known, you can use reduction of order to solve this.