## Mathematics & Science
Learning Center |
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## Solving Systems
## Solving the Preliminary ExampleWe're going to use
We said that a solution was: *x*(*t*) =*e*^{- t}*y*(*t*) =*e*^{3t}
To verify that they really work as solutions,
we simply need to do a little substituting. We need to substitute these values
of
and let's first address the D[x[t]/.x[t]->E^(-t),t] Let's now launch You can switch to Mathematica by clicking on the button at left. This will
open up a fresh notebook for you. Remember that it will take it a while to start
up! Don't forget to come back here when you're done! See you in a few
minutes.Now let's go see what you should have gotten... |
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ODE Laboratories: A Sabbatical Project by Christopher A. Barker©2017 San Joaquin Delta College, 5151 Pacific Ave., Stockton, CA 95207, USA e-mail: cbarker@deltacollege.edu |