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Is this a differential equation?
What are you trying to separate? Are you trying to integrate or find the derivative?
yes sir it is de
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
i am supposed to find whether it is separable, homogeneous, linear , burnoulli but not linear , exact but not separable ( circle all that apply)
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...?
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
P' can be written as dP/dx
yes i got that much down... am i over thinking it... would it just be dx =dP/( sin(P)+cos(P^2) )
Separable means you need to be able to get all of the y's on one side and the x's on the other
kk so i was overthinking it
but do you know about homogeneous and linear and burnoulli's? like how i check to see if an ODE falls under those categories?
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
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?