Draw the graph of g(x) (x 2) 2 (x 6) 2 , and use the graph to sketch the solutions of the differential equation y (y 2) 2 (y 6)2 with initial conditions y(0) 1, y(0) 3, y(0) 5, and y(0) 7 on a ty coordinate system

Question: Draw the graph of g(x) = (x - 2) 2 (x - 6) 2 , and use the graph to sketch the solutions of the

Draw the graph of g(x) = (x - 2)² (x - 6)², and use the graph to sketch the solutions of the differential equation y′ = (y - 2)² (y - 6)2 with initial conditions y(0) = 1, y(0) = 3, y(0) = 5, and y(0) = 7 on a ty-coordinate system.

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