# Talk:Partial differential equation

## Reviewer A

This is a splendid article. It is well written and contains useful compendium of the most important pdes encountered in mathematics, engineering, and the other sciences.

Following is a list of grammatical changes the authors may wish to consider.

1) In some places w(x,y,u) is used and in some places w(x,y;w) is used.

*Authors' comment (A. Zhurov).* What do you mean here? Neither "w(x,y,u)" nor "w(x,y;w)" are used in the article. We used "\tilde w(x,y;\mu)" a couple of times but there is no inconsistency.

2) Properties of a homogeneous linear equation, item 5. I would change "Let the coefficients" to "Assume the coefficients." I would also change "it admits" to "There is"

*Authors' comment (A. Zhurov).* Agree.

3) After (9), I would change "Properties ..." to "Some properties ... are"

*Authors' comment (A. Zhurov).* Agree.

4) I would make a similar change near item 2 of Laplace equation

*Authors' comment (A. Zhurov).* Sorry, don't understand what you mean here.

5) Canonical form of elliptic equations. complex conjugate or complex conjugates?

*Authors' comment (A. Zhurov).* Complex conjugates.

6) Before (26). I would use a word other than imply.

*Authors' comment (A. Zhurov).* Changed to "Setting ... *means* prescribing ...". Okay?

7) In several places, consider replacing "turns out" with "becomes"

*Authors' comment (A. Zhurov).* Did you mean replacing "turns into" with "becomes"? Will do.

8) Burgers equation. Change "It is" "This equation is"

*Authors' comment (A. Zhurov).* Okay.

9) Biharmonic equation. Say something like "Various representations ... functions include"

*Authors' comment (A. Zhurov).* Okay.

## Reviewer B

Nice presentation of PDEs! I made a few comments in the text. Please review and then I will accept.

## Authors

Many thanks to both reviewers for the very useful comments and corrections.