Suppose that y(x) denotes a solution of the first-order
Chapter , Problem 20RP(choose chapter or problem)
Suppose that y(x) denotes a solution of the first-order IVP \(y^{\prime}=x^{2}+y^{2}\) , 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.
Text Transcription:
y^prime = x^2 + y^2
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