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- What is a differential form? - Mathematics Stack Exchange
At this point, however, I think that the best way to approach the daunting concept of differential forms is to realize that differential forms are defined to be the thing that makes Stokes' Theorem true In other words, you can approach understanding forms in two different ways:
- calculus - The second differential versus the differential of a . . .
Now if you want to, you can partially evaluate the second differential $ \mathrm d ^ 2 y $ when $ \mathrm d ^ 2 x = 0 $, getting a partial second differential showing only the dependance on $ x $ and not on $ \mathrm d x $: $$ ( \partial ^ 2 y ) _ { \mathrm d x } = \mathrm d ^ 2 y \rvert _ { \mathrm d ^ 2 x = 0 } = f ' ' ( x ) \, \mathrm d x
- Best Book For Differential Equations? - Mathematics Stack Exchange
For mathematics departments, some more strict books may be suitable But whatever book you are using, make sure it has a lot of solved examples And ideally, it should also include some simulation examples, in Matlab, Python, or any other language A First Course in Differential Equations with Modeling Applications by Zill is a good choice
- How To Solve a Trigonometric Differential Equation
$\begingroup$ Well, I saw this equation in a fb group named JulioProfe some time ago I found the exercise interesting and decided to take it back a few days ago, I don't know the original textbook where the exercise came from and I got the answer from wolfram without initial steps of procedure
- How do you prove a form is exact and or closed
$\begingroup$ Everything I see online is about exact differential equations where you have something dx + something dy and if you take the derivative of the first piece with respect to y and the derivative of the second piece with respect to x and get the same answer for both, then it is exact
- Book recommendation for ordinary differential equations
$\begingroup$ And here is one more example, which comes to mind: a book for famous Russian mathematician: Ordinary Differential Equations, which does not cover that much, but what is covered, is covered with absolute rigor and detail
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