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Step 4Do a tough one
Now let's try it with a differential equation that can't be solved using traditional methods. The differential equation shown below is completely made up and doesn't model anything as far as I know. I don't know how to solve it, but I can still visualize solutions to it by using Euler's method. The second picture are solution sketches with different starting conditions. The excel file is also attached if you need help.
Using this method, sketching solutions to differential equations becomes quite easy. Just make sure you use small enough step sizes to reduce the error rate. If you have big step sizes, your solution will be very inaccurate. You want your columns to be at least 100 cells long.
Good luck!
Using this method, sketching solutions to differential equations becomes quite easy. Just make sure you use small enough step sizes to reduce the error rate. If you have big step sizes, your solution will be very inaccurate. You want your columns to be at least 100 cells long.
Good luck!
Euler's method.xls146 KB| « Previous Step | Download PDFView All Steps | Next Step » |
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