Solving the Preliminary Example

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Exercise 1: Solution Graphs

When solving:

System	Initial Conditions
x' = - x + 2y y' = 2x - 3y	x(0) = 1 y(0) = 2

on the interval -1 ≤ t ≤ 2, the graphs of the components of your solution should look like these:

Ex1x

Graph of the x-component of the Solution

Ex1y

Graph of the y-component of the Solution

If you didn't get graphs similar to these, then obviously you should check over your calculations, and try again. When you're done looking you can return to the Exercises...

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