Slope fields q (1 Viewer)

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Are all isoclines solutions to the DE and are horizontal isoclines always horizontal asymptoetes

 

[cossine]

Are all isoclines solutions to the DE ? Yes

horizontal isoclines always horizontal asymptoetes? Horizontal lines not asymptotes. The isocline is the solution.

https://en.wikipedia.org/wiki/Isocline

 

[braintic]

Are all isoclines solutions to the DE ? Yes

horizontal isoclines always horizontal asymptoetes? Horizontal lines not asymptotes. The isocline is the solution.

https://en.wikipedia.org/wiki/Isocline

(1) The example in the link you gave clearly shows that isoclines are generally NOT solutions.
(2) The isocline is A solution. Other solutions are indeed asymptotic to this isocline.

 

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ohh so isoclines are only solutions when the are horizontal

 

[cossine]

(1) The example in the link you gave clearly shows that isoclines are generally NOT solutions.
(2) The isocline is A solution. Other solutions are indeed asymptotic to this isocline.

Than you