Roots and Differential Equations

Calculus Level 4

What is the sum of all possible real numbers mm such that the function

y=my=m

satisfies the differential equation

dydx=y595y43778y3+52340y2+833496y1844640?\frac{dy}{dx}=y^5-95y^4-3778y^3+52340y^2+833496y-1844640?

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