how would you go about separating this ... P' = sin(P)+cos(P^2)

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- anonymous

how would you go about separating this ... P' = sin(P)+cos(P^2)

- katieb

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- anonymous

Is this a differential equation?

- anonymous

What are you trying to separate? Are you trying to integrate or find the derivative?

- anonymous

yes sir it is de

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- anonymous

First you have to identify what kind of DE it is... First order. Non-linear. And consider some ways in which you can deal with those

- anonymous

i am supposed to find whether it is separable, homogeneous, linear , burnoulli but not linear , exact but not separable ( circle all that apply)

- anonymous

i have the answer key but i have no clue how to work this problem in particular like for instance most of the DE i have worked with have y and x this only has P soo what would u separate...?

- anonymous

also i only really know how to check if something is separable and i somewhat know how to do exact but the others im unsure

- anonymous

P' can be written as dP/dx

- anonymous

yes i got that much down... am i over thinking it... would it just be dx =dP/( sin(P)+cos(P^2) )

- anonymous

Separable means you need to be able to get all of the y's on one side and the x's on the other

- anonymous

kk so i was overthinking it

- anonymous

but do you know about homogeneous and linear and burnoulli's? like how i check to see if an ODE falls under those categories?

- anonymous

Homogenous and linear and burnoulli's all have to do with various methods to solve a DE. You have to really understand how to go about solving those types before you can classify them

- anonymous

ok well if i give you an example could you work it out for me and ill probably be able to figure it out from that?

- anonymous

xyy'=(x^2)+(y^2)

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