Suppose that y(x) denotes a solution of the first-order IVP y' = x 2 + y 2

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Suppose that y(x) denotes a solution of the first-order IVP y' = x2 + y2, y(1) = 1 and that y(x) possesses at least a second derivative at x = 1. In some neighborhood of x = 1 use the DE to determine whether y(x) is increasing or decreasing and whether the graph y(x) is concave up or concave down.

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