Problem

Consider the differential equation (a) Explain why a solution of the DE must be an...

Consider the differential equation

(a) Explain why a solution of the DE must be an increasing function on any interval of the x-axis.

(b) What are What does this suggest about a solution curve as

(c) Determine an interval over which a solution curve is concave down and an interval over which the curve is concave up.

(d) Sketch the graph of a solution of the differential equation whose shape is suggested by parts (a)–(c).

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