Question

Differential Equation

4xy dx + y dx + 2ydy - 2x^2

Answer 1

hi tyeyn haha

Answer 2

=0

Answer 3

\[4xydx+ydx+2ydy-2x ^{2}dy=0 y(4x+1)dx+(xy-2x^{2})dy=0\]

Answer 4

\[dx/dy-(2x^{2}/4x+1)(1/y)=-2/(4x+1)\]

Answer 5

in original equation is it:
...-2x^2 or ...-2x^2 dy?

Answer 6

if it's simple... - 2x^2
I think you should :
1) find solution of homogeneous equation (without 2x^2)
2) find particular solution (form: y=Ax^2 + Bx+C)
3) general solution:
y=y(homogeneous)+y(particular)

let me know if there is a problem

Answer 7

inik, it's -2x^2 dy

Answer 8

good!
did you get the answer?
i'm back on line...
let me know if still a problem