SOLUTION: Please help me determine if this is linear or not. Determine whether the differential equation is linear . y'+ycosx=x^9y^9 Thanks.

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Question 1072722:
Please help me determine if this is linear or not.
Determine whether the differential equation is linear . y'+ycosx=x^9y^9
Thanks.
Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!
A linear differential equation is of the form

y' + P(x)*y = Q(x)

y'+ycosx=x^9y^9

No it's not linear because the right side is not a 
function of x only.

The differential equation 

y'+ycosx=x^9

is linear but not

y'+ycosx=x^9y^9

Edwin