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Mathematics 15 Online
OpenStudy (anonymous):

Solve (xy^4+y)dx - xdy=0

OpenStudy (anonymous):

looks like seperable diff equation. can add xdy to both sides and integrate both sides

OpenStudy (anonymous):

wont work here...

OpenStudy (anonymous):

well sorry, that was my first instinct. I haven't done any differential equations in a while. will have to wait on someone smarter than me.

OpenStudy (anonymous):

no prob..

OpenStudy (raffle_snaffle):

separation of variables?

OpenStudy (dumbcow):

this is not an exact equation so you have to transform the variables to make it an exact equation so it is solvable http://tutorial.math.lamar.edu/Classes/DE/Exact.aspx

OpenStudy (dumbcow):

not sure how to do that though yet

OpenStudy (anonymous):

seems a bit scary to me...

OpenStudy (anonymous):

same here. looked easier when I thought it was seperable lol

OpenStudy (dumbcow):

ahh this is a Bernoulli diff equ, or you can put it in that form http://tutorial.math.lamar.edu/Classes/DE/Bernoulli.aspx \[\rightarrow \frac{dy}{dx} - \frac{y}{x} = y^{4}\]

OpenStudy (anonymous):

lemme try

OpenStudy (anonymous):

thanks for the help.... (:

OpenStudy (dumbcow):

yw you get the solution

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