# What is a solution to the differential equation #dy/dx=(1+x)(1+y)#?

this is separable!

so we integrate both sides

or

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The solution to the differential equation ( \frac{dy}{dx} = (1+x)(1+y) ) is given implicitly by:

[ y = -1 - x + \sqrt{C(1+x)} ]

where ( C ) is the constant of integration.

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