Example 4.  Plot the solutions to the D. E.    in Example 3
that have the following initial conditions  x[0] = 2, 3, 4, 5, 6.

Solution 4.

Use the general solution that was constructed in example 4.

Solve for the constant C[1] to make the initial conditions  x[0] = 2, 3, 4, 5, 6.

The solution functions corresponding to the above list of constants is:

Make them look nicer.  

Plot these functions, since a "table of functions" is being sent to the plot subroutine, the command Evaluate is necessary.   

(c) John H. Mathews 2004