Make and solve the given equation x dx + y dy=a2x dy − y dxx2



Answered question


Make and solve the given equation x dx + y dy=a2x dy  y dxx2 + y2

Answer & Explanation

Corben Pittman

Corben Pittman

Skilled2021-02-27Added 83 answers

Given:x dx + y dy=a2x dy  y dxx2 + y2
x dx + y dy=a2(x dy  y dxx2 + y2)
=a2[x dy  y dxx2x2 + y2x2]
=a2[d(yx)1 + y2x2]
=a2[d(yx)1 + (yx)2]
  xdx +  ydy=a2  [d(yx)1 + (yx)2] + C where C is a constant
 x22 + y22=a2 tan1(yx) C [sin ce  dxx2 + a2=1a2 tan1xa + c]
Hence the solution of the given differential equation is x2 + y2=2a2tan1(yx)

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?