Question: Determine whether the given expression is a solution to the given differential equation. Assume that the relationship does define y as a function of x.

Determine whether the given expression is a solution to the given differential equation. Assume that the relationship does define y as a function of x. If the expression is a solution to the given differential equation, indicate what type of solution it is (implicit or explicit).

x sin(y) - x^4 = y^2, dy/dx = 4x^3 - sin(y)/x cos(y) - 2y

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