Question: (15 points) Consider the following differential equation y' = x (1+y ) a) Determine if y = tan is a solution? b) If you determine

(15 points) Consider the following differential equation y' = x (1+y ) a) Determine if y = tan is a solution? b) If you determine it is a solution, will a constant multiple of a solution be a solution for this DE? c) If you determine it is not a solution, is the statement true or false: y failed to be an implicit solution

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