Differential equation from slope field | First order differential equations | Khan Academy

Missed the previous lesson?

Differential Equations on Khan Academy: Differential equations, separable equations, exact equations, integrating factors, homogeneous equations.

About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content.

For free. For everyone. Forever. #YouCanLearnAnything

[UnGivNX]

Ok that was SO interesting! Thank you Khan Academy!

I am actually programming a game using Flow Field and your approach may help me a lot in a near future.

[mr.]

I find 1st looking at the y & x axis is (usually) best. Looking at the y-axis (x=0), we can quickly rule out 1 and 5 since the slope there is not zero. Then, for this particular example, just look at point (1, 1) to see that the answer is the 4th one.

[arturo]

It's easy to see that the first and last one cannot be the solutions since for any values in the x-axis and for y = 0, the slopes are undefined.

[bryonadair]

Wow just saved my calc quiz grade thanks 😊

[thedamneddamsel]

i have a test tomorrow... please save my grade khan academy

[MultiRedskins]

Why don’t you just look at where the line segments are zero? They are all on the line y=-x or x+y=0. Problem solved in two seconds.