Consider the following differential equation. dy =y6/7 dx Let f(x, y) = y6/7. Find the derivative of f. Əf = ду Determine a region of the xy-plane for which the given differential equation would have a unique solution whose graph passes through a point (xo, Yo) in the region. O There is a unique solution in the entire xy-plane. O There is a unique solution in any rectangular region where y # 0. O There is a unique solution in any rectangular region where x ≥ 0. O There is a unique solution in any rectangular region where ly| < 1. O There is a unique solution in any rectangular region excluding the origin.

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