Question

need help with this differential equation. It will be in a picture in the next post.

Answer 1

we've learned to about exact equations, using the x/y method, standard linear form (integrating factor), and separating the variables.

Answer 2

I suspect I may have to manipulate this algebraically somehow then use x/y method but I don't know what to do.

Answer 3

you picture is cut off

Answer 4

It's actually a couple problems I need help with though. I can put the whole pdf if you wish.

Answer 5

number three is what im doing now that should be there no?

Answer 6

\[\frac{dy}{dx}=\frac{x+y}{y^3-2xy}\]


\[-(x+y)dx+(y^3-2xy )dy=\]

Let's see if it is exact ?

let's check mix partial

nope!

Answer 7

its actually x^2 + y^2 and I think you saved mi life bro

Answer 8

i think they are exact lol

Answer 9

bleh nvm no they're not

Answer 10

\[-(x^2+y^2)dx+(y^3-2xy )dy=\]

My= -2y

Nx=-2y

yes

Answer 11

thanks I can take it from there, but I'll be back lol

Answer 12

I have differential test next week , I can practice by helping

Answer 13

k

Answer 14

he so i messed up, it actually is x + y, stuck again

Answer 15

mebbe i have to find an integrating factor to make it exact?

Answer 16

ok so I looked at this problem some and I feel I am on the cusp of a breakthrough. I can manipulate this algebraically to make it look like the attached picture. I think I can use that method that uses y/x and substitution. Someone please help.