Often a radical change in the form of the solution of a differential equation corresponds to a
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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. 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).
1. dy/dx = (y -1)2, y(0) = 1
2. dy/dx = (y - 1)2, y(0) = 1.01
3. dy/dx = (y - 1)2 + 0.01, y(0) = 1
4. dy/dx = (y - 1)2 – 0.01, y(0) = 1
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Related Book For
A First Course in Differential Equations with Modeling Applications
ISBN: 978-1305965720
11th edition
Authors: Dennis G. Zill
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