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How many distinct, twice-differentiable solutions y: R - R are there to the following differential equation? 7 (y')(y' - 2)8(y' + 6)10= (arcsin - It)

How many distinct, twice-differentiable solutions y: R - R are there to the following differential equation? 7 (y')(y' - 2)8(y' + 6)10= (arcsin - It) Cos4 (y + 3 - 2x) (y + 1 + 2x + 3x2) 12 2+ x2 1 + 12

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