Answer to Question #237505 in Differential Equations for James

Question #237505
Solve the differential equation of the following homogeneous equation.

xydx + (x^2+ y^2)dy = 0
1
Expert's answer
2021-09-19T18:06:53-0400

Let us solve the differential equation For this let us use the transformation Then and hence we get the differential equation It follows that and hence

Consequently, we have the equation It follows that

We conclude that and hence Therefore,

We conclude and thus Then We conclude that the general solution of the equation is


Need a fast expert's response?

Submit order

and get a quick answer at the best price

for any assignment or question with DETAILED EXPLANATIONS!

Comments

No comments. Be the first!

Leave a comment

Ask Your question

LATEST TUTORIALS
New on Blog
APPROVED BY CLIENTS