Determine whether each of the following functions is a solution

rompentskj

rompentskj

Answered question

2021-12-06

Determine whether each of the following functions is a solution of Laplace’s equation u×+uyy=0,u=excosy=eycosx

Answer & Explanation

Nancy Johnson

Nancy Johnson

Beginner2021-12-07Added 17 answers

u=excosyeycosx is given
ux=excosy+eysinu×=excosy+eycosx
uy=exsiny+eycosxuyy=excosyeycosx
u×+uyy=(excosy+eycosx)+(excosyeycosx)=0
Result:
Yes

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?