Consider the differential equation
dy/dx=2x/(y^2+x^2y)

Question

Consider the differential equation
dy/dx=2x/(y^2+x^2y)

kainui · Answer

I'm considering it.

anonymous · Answer

tanx iam waiting for your answer

kainui · Answer

So what's your best guess, I'll help you figure it out. I know a lot of ways to solve differential equations, so what ways have you spoken about in class recently that you think might work?

anonymous · Answer

separable equation

usukidoll · Answer

LOL!

kc_kennylau · Answer

LM*O I laughed at @Kainui 's response "I'm considering" lol

usukidoll · Answer

there's plenty of methods... you got linear, homogeneous, separable, existence and uniqueness theorem

usukidoll · Answer

constant coefficent, undetermined coefficent, variation of parameters, laplace...

anonymous · Answer

@UsukiDoll  i have to solve with separable theorem but i fail :(

usukidoll · Answer

|dw:1385887557458:dw|

usukidoll · Answer

then you're looking at this format and then you have to integrate both sides...finally the y has to be the only term on the left side

usukidoll · Answer

or homogeneous method which can be a pain in the beginning but turns everything separable in the end

kainui · Answer

I don't think you're able to separate this without a substitution.

usukidoll · Answer

y=xu   
dy = xdu+u

usukidoll · Answer

yeah gotta use that nasty subsitution I HATE THOSE

kainui · Answer

Yeah like that. lol.

usukidoll · Answer

lordy I know it's going to be long as the hills.

usukidoll · Answer

but doesn't the right hand side have to be 0?

anonymous · Answer

yep i solve with substitution but i cant complete it :(

kainui · Answer

Maybe just show your steps and it'll be simpler for us to pick out where you went wrong with algebra or something?