# What is a general solution to the differential equation #y'=2+2x^2+y+x^2y#?

this is separable,

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The general solution to the differential equation ( y' = 2 + 2x^2 + y + x^2y ) is given by:

[ y(x) = -x^2 - 2x - 2 + Ce^{-x} ]

where ( C ) is an arbitrary constant.

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