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1MileCrash
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Homework Statement
y' = -2 + t - y
Draw a slope field and determine behavior as t -> infinity
Homework Equations
The Attempt at a Solution
This is the first DE in my book that includes t in the differential equation. The slope field looks pretty wacky. For the others I was able to see the behavior easily through the slope field because it didn't change along the t axis. Now, just looking at the slope field won't do.
How does one determine the behavior as t approaches infinity here? (without solving the equation!)
Thanks!