Consider the differential equation dy/dx = e -x2. (a) Explain why a solution of the DE
Chapter 1, Problem 55(choose chapter or problem)
Consider the differential equation dy/dx = e -x2. (a) Explain why a solution of the DE must be an increasing function on any interval of the x-axis. (b) What are lim dyldx and limdyldx? What does this x---t-oo x---too suggest about a solution curve as x oo? ( 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 y = (x) of the differential equation whose shape is suggested by parts (a)-(c).
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