Linked Questions

3
votes
1answer
158 views

Making time differentials look like the textbook [duplicate]

I need to have time differentials to look like the 'textbook'. My code is Dt[x y^2] /. {Dt[x] -> dx/dt, Dt[y] -> dy/dt} which gives the output ...
2
votes
0answers
61 views

Getting Mathematica to supply derivatives in standard format [duplicate]

I will like to use the results of Mathematica outputs in formatted text for students. However, I do not know how to get rid of the variable arguments and the use of raised indices to indicate ...
0
votes
0answers
31 views

Using `Format` to create a notation for derivatives [duplicate]

I want to create a new function that I called HD to give a visual way to see the derivatives. For example: The objective is apply the function ...
35
votes
3answers
28k views

How to make Jacobian automatically in Mathematica

If we have two vectors, $a$ and $b$, how can I make Jacobian matrix automatically in Mathematica? $$ a=\left( \begin{array}{c} x_1^3+2x_2^2 \\ 3x_1^4+7x_2 \end{array} \right);b=\left( \begin{array}{...
20
votes
2answers
4k views

Any way to make my equations look better, more Latex like?

I find that the equations I write in Mathematica are not always publication quality. Here is a typical example: If I copy as Latex, then I get the following code: ...
10
votes
2answers
248 views

TeXForm handling of derivative higher than two

When the expression is only up to second derivative, TeXForm works correctly: ode = y''[x] == 0; TeXForm[ode] But when the ...
7
votes
1answer
5k views

How to Make a change of variables

I have the following expresion $$\hat{M}^2=-\left[\frac{1}{\sin\beta}\frac{\partial}{\partial\beta}\sin\beta\frac{\partial}{\partial\beta}+\frac{1}{sin^2\beta}\left(\frac{\partial^2}{\partial\alpha^2}...
6
votes
2answers
366 views

Customizing display of partial differential equations

I am manipulating partial differential equations symbolically, and would like to get the easily readable form $\rho \frac{\partial v}{\partial t}$, leaving variables implicit. Based on suggestions ...
3
votes
1answer
2k views

How to work with differentials explicitly?

When working with differential equations with independent (e.g. t )and dependent (e.g., x[t]) variables Mathematica expresses ...
4
votes
1answer
1k views

How to preserve the order of terms in the output

Is there a way in which mathematica can preserve the order of operations while it evaluates an expression?, for instance: In my short example ...
2
votes
1answer
1k views

Typesetting - entering derivative in traditional form

I am trying to work out how I enter a differential in standard notation? I am familiar with using D, but everything I have tried to enter a differential has failed. ...
2
votes
2answers
328 views

Notation for implicit derivative

Consider the following line of code: D[x == y^3 + x y, x, NonConstants -> y] The output would be: ...
1
vote
2answers
314 views

How to define a rule to simplify the notation for derivatives of chain rule?

Suppose that $u(x,y)$ is a function, and $x=r \cos t$, $y= r \sin t$, then we can define a new function $v(r,t):=u(x,y)$ with $x,y$ replaced by the above equations. It is quite easy to compute $v$'s ...
1
vote
1answer
362 views

Converting to traditional form of partial derivative

How to convert the expression Derivative[1, 0][f][r, z] into the following in Mathematica automatically D[f[r, z], {r, 1}, {z, 0}] (or to traditional form of D[f[r, z], {r, 1}, {z, 0}])
1
vote
1answer
341 views

How to use a convective derivative

I am trying to figure out how to do a convective derivative in Mathematica in the context of the Navier-Stokes equation. The issue is, I have no clue how dot product a vector with the gradient ...

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