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

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

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