Full answer: Often a radical change in the form of the solution of a differential
Chapter 2, Problem 42(choose chapter or problem)
Often a radical change in the form of the solution of a differential equation corresponds to a very small change in either the initial condition or the equation itself. In Problems 39–42, find an explicit solution of the given initial-value problem. Use a graphing utility to plot the graph of each solution. Compare each solution curve in a neighborhood of (0, 1).
\(\frac{d y}{d x}=(y-1)^{2}-0.01\); y(0) = 1
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