anonymous
  • anonymous
how would you go about separating this ... P' = sin(P)+cos(P^2)
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
Is this a differential equation?
anonymous
  • anonymous
What are you trying to separate? Are you trying to integrate or find the derivative?
anonymous
  • anonymous
yes sir it is de

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anonymous
  • 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
  • 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
  • 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
  • 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
  • anonymous
P' can be written as dP/dx
anonymous
  • anonymous
yes i got that much down... am i over thinking it... would it just be dx =dP/( sin(P)+cos(P^2) )
anonymous
  • 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
  • anonymous
kk so i was overthinking it
anonymous
  • 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
  • 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
  • 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
  • anonymous
xyy'=(x^2)+(y^2)

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