Module for the Vector Slope Field for O. D. E.

Numerical Methods for O. D. E. using Mathematica. (c) John H. Mathews, 2003

Preliminaries.

Example 1.  Use Mathematica to find the general solution to the D. E.  

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Example 2.  Use Mathematica to find the solution to the I. V. P.  

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Example 3.  Use Mathematica to find the general solution to the I. V. P.    

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Example 4.  Use Mathematica to find the general solution to the I. V. P.    

        

with the initial conditions  y[0] = 0, 1, 2, 3, 4, 5  and plot the solutions over the interval  .

Example 5.  Use Mathematica to find the general solution to the I. V. P.    

        

with the initial conditions  y[0] = -10, -9, ..., 0, ..., 9, 10  and plot the solutions over the interval  .

Example 6.  Use Mathematica's "PlotVectorField" subroutine and plot the vector slope field for the D. E.  

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Example 7.  Plot the solutions you found in 5 and the vector slope field in 6.

Example 8.   Use Mathematica's "ContourPlot" subroutine and solutions for the D. E.  

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