Slope field to visualize solutions | First order differential equations | Khan Academy

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Differential Equations on Khan Academy: Differential equations, separable equations, exact equations, integrating factors, homogeneous equations.
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[@bman9469]

Saved the day yet again, thanks for the helpful videos.

[@lisale1878]

Thank you so much!!!🤗

[@jasonzechengpan4491]

thanks so much! self studying is so tough, but your videos helped a lot!

[@bettinatobias7040]

I didn't know that the solution is drawn just as straight line on a slope field if the slope is 0 at the given point. XD Thank you, Khan Academy!

[@zacharygruber7349]

didn't you learn in algebra that when the slope is 0 the line is horizontal?

[@fahimfarhan3806]

Why the orange curve won't touch the Y=4 point?

Imagine it actually touched. Now you imagine going backward over x axis ( or going back in time or just reverse it ) . For example if your slope is +2 forward direction (from left to right) you'll get -2 for backward direction. Which means in some point on y = 4 you need to go out of that line which is impossible since everywhere on the line y = 4 the slope is 0.

[@nurboldospambetov1010]

But we don't have x in 6/y(4-y)

[@tyeegrabarcyzk5157]

that's true you don't account for X in this situation. as this formula isn't dependent on x. x could be any number and not change an aspect about the slope field. however you use x when you plot and you differentiate with respect to x to develop a slope for the plotted points.

[@omalor]

This guy sounds like Don Lemon from CNN!

[@rainashapiro5978]

Esta madre que es u,U

[@PeterrAre]

cant even read the writing

[@maksudulhossainjewel378]

Seriously?

[@dynamicdybala6276]

3 years later are you still illiterate?