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![this is a coupled 1st order differential equation plz solve this by using mathematica]1

I'm attempting to solve the following system of equations for k and $\kappa$ $$\mu\epsilon\omega^2=k^2-\kappa^2$$ $$\mu\sigma\omega=2k\kappa$$ but when I type into Mathematica ...

Two separate Panes. Pane-1 with vertical scroll bars and Pane-2 no scroll bars. Need to sync the scrolling between them. When scrolling Pane-1 vertically, need to have pane 2 automatically scroll to ...

As stated, I am having trouble trying to set up a Laplacian/Poisson Equation. I have boundary conditions with this too, and I've tried using the DirichletCondition function, but I don't know what I'm ...

Suppose I want to sum a function, $f(\{m_a\})$, of several variables, $m_a$, $a=1,..,n$, which run over ranges, $1,...,k[[a]]$, however, I do not know $n$ in advance. I thought I could do this using `...

Given a non-commutative basis ${x_0,x_1,x_2}$ I'd like to define a differential operator that acts as so $$ \Delta_i (\sum_{n=0}^\infty c_n x_i^n) = \sum_{n=1}^\infty c_n x_i^{n-1}, \quad \Delta_i ...

I need help for a problem I m having trouble with. I need to create a list with the first 10'000 digits of Pi and sum the digits 259 to 7233. I managed to create a list with the following code: list1 ...

How to change the font colour of symbols defined in the current context (e.g. $Context) from black to some other colour, say purple? There is a ...

My main problem is how one can create a "transcending between operators rule" in the same term according to the minimal example bellow. Suppose I need to perform a replacement of the form ...

I am writing a Mathematica program that tries to run 100+ Python programs, via StartProcess[], continuously. It seems to work when I run < 100 programs, but, at ...

Can Anyone help me out graph both function and its tangent line on the same xy axes, please? ...

A similar question has been axed before in the context of a Framed plot: see here. My plot is unframed so I wasn't able to apply the answer to the other question. I create a histogram with the code ...

Problem I am trying to plot Tubes made from the Tube function with varying radii. At one point there is a discontinuity and the radius of the tube is much ...

Sorry to post a long piece of code. There are two places in here where I Print[] 'path2' when the count == 984, because for some reason, that list is getting ...

I am attempting to solve the equation below, which requires v[y,0]==0 for all y greater than 0. I have followed the /; approach ...