Solution: itself. In 35–38 find an explicit solution of the

QUESTION:

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

Text Transcription:

dy/dx = (y-1)^2 - 0.01