Differential Equation solve differential equation (dy)/( dx) =((3x-y-6))/((x+y+2)) I tried to do this but it´s first order and posible is separable variables

Rubi Garner

Rubi Garner

Answered question

2022-10-22

Differential Equation
solve differential equation
d y d x = ( 3 x y 6 ) ( x + y + 2 )
I tried to do this but it´s first order and posible is separable variables

Answer & Explanation

silenthunter440

silenthunter440

Beginner2022-10-23Added 19 answers

From d y d x = ( 3 x y 6 ) ( x + y + 2 ) , we have
( x + y + 2 ) d y ( 3 x y 6 ) d x = 0
We look for F ( x , y ) such that
F y = x + y + 2
F y = x + y + 2
F x = ( 3 x y 6 )
Solve for F, F ( x , y ) = x y + y 2 2 + 2 y 3 x 2 2 + 6 x
The solution is F(x,y) = Constant.

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?