dx/dy=-(4y^2+6xy/3y^2+2x

LEIDY KATERINE HERRERA AMORTEGUI

LEIDY KATERINE HERRERA AMORTEGUI

Answered question

2022-08-11

dx/dy=-(4y^2+6xy/3y^2+2x

Answer & Explanation

Eliza Beth13

Eliza Beth13

Skilled2023-05-31Added 130 answers

To solve the differential equation dxdy=4y2+6xy3y2+2x, we can start by rewriting it in a more standard form.
dxdy=4y2+6xy3y2+2x
To simplify the equation, we can multiply both sides by the denominator:
(3y2+2x)dxdy=(4y2+6xy)
Now, we can rearrange the equation by separating the variables x and y:
(3y2+2x)dx+(4y2+6xy)dy=0
To solve this equation, we need to integrate both sides. Let's integrate the left-hand side with respect to x and the right-hand side with respect to y:
(3y2+2x)dx+(4y2+6xy)dy=0dy
Integrating, we get:
3y2x+x2+2xy+C=0
where C is the constant of integration.

Do you have a similar question?

Recalculate according to your conditions!

New Questions in Differential Equations

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?