Question

Please help .. don't know where to start : (

x^2 + 2xy + (x^2 - 1/3x^3 - x^2y)dy/dx = 0
Solve this DE by finding a function of the form
u = u(y), as an integrating factor.
Seperation of variables ... then ?

Answer 1

You have to start between the paranthesis first. combine like terms. This looks very difficult

Answer 2

But there aren't any like terms

Answer 3

x^2 - 3x^3 are like terms

Answer 4

Can you move the first two terms to the right side, then divide by everything in the parenthesis to isolate dy/dx ?

Answer 5

Yes, that's what i originally started with .. but then I'm just not sure where to go from there ..

Answer 6

then maybe factor top and bottom to simplify if possible... then integrate with respect to x? (easy for me to say, I know... I'm just thinking through a possible approach... not sure I could do it!!)

Answer 7

Before you go down that rabbit hole, I don't understand the part about an equation of the form u = u(y).

I'm a little over my head here :) I've done this, but not any time recently.

Answer 8

i know .. as an integrating factor? i dont understand it either ... it would make more sense if it was u = u(x) right?

Answer 9

hello

Answer 10

hi, how's things?

Answer 11

hello

Answer 12

hi. got math? :)

Answer 13

ha

Answer 14

I know how you feel :)

Answer 15

what tired

Answer 16

yep, when I'm tired, I find a random math question and post, "hello"

But hey, we're all friends here... hope all's well for you :)

Answer 17

you too

Answer 18

yes, today's good... trends point toward a good Wednesday also :)