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Thread: Isoclines about a 1st order ODE

  1. #1 Isoclines about a 1st order ODE 
    Forum Freshman
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    Hi, friends!

    We have an ODE such as y' = f(x,y) (with x, independent variable).


    When are isoclines vertical lines?

    When are isoclines horizontal lines?



    I hope you will clear up my doubts!


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  3. #2  
    Forum Masters Degree organic god's Avatar
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    well if the isoclines are horizontal, it means that y' = 0 for all x. so that y isn't a function of x.


    everything is mathematical.
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  4. #3  
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    Aren't isoclines horizontal also when y' = y, for example?

    Anyway, I'm agree they are horizontal if y doesn't depend on x.
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