Differential Equation - Introduction (10 of 15) What Are Slope Fields and Solution Curves - 1?

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In this video I will draw the slope fields and solution curves to the differential equation dy/dx=ky.
Next video in the Introduction series can be seen at:
• Differential Equation ...

[@rumpelforeskin8461]

Mr. Michael van Biezen I am currently taking Calc 2 and Physics and your channel has made me feel very confident in both subjects. Thank you for all of your hard work. Your channel is the most helpful that I've found.

[@MichelvanBiezen]

Keep up the hard work in college. Glad these videos are helping.

[@elijahfrd]

LOOve the bow-tie, Oh! and thanks for the in depth course on DE, I'm finally getting it!

[@sadirbeksaliev5284]

Thanks. Its really good and easy to understand..

[@brave385]

this dude needs to get to 1M susbribers

[@curtpiazza1688]

Great! Your graphs are always so neatly drawn!

[@MichelvanBiezen]

(Lots of practice). 🙂

[@pedrorodrigues5552]

Really amazing -- thank u sir !

[@jollyjokress3852]

superb. I understood a lot :)

[@vipenderyadav1]

Fabulous job @Michel

[@dildobaggins2759]

Michael quick question would appreciate the reply. So I have a question which is giving me bunch of first order differential equations and its asking me to plot them but theres no initial condition given for any of them. Do I just assume an initial condition of 0,0 then choose my x,y point and produce the slop field for each of them?

[@MichelvanBiezen]

Whenever you integrate, you end up with a constant of integration which is not known. You can plot solutions with different constants of integration and you'll end up with similar curves all offset by a fixed constant amount.

[@bu_awadhchannel6037]

Thank you mr

[@jacksonmpumpa2262]

nice work

[@ateebahmed2237]

awsome!

[@Siddiqui__am]

Thank you for the video sir!

[@MichelvanBiezen]

Our pleasure!

[@Slurpee_12]

Would this be a stable equilibrium, because all solution curves diverge from y=0?

[@MichelvanBiezen]

We are not trying to depict a physical system. This is simply a visual (graphical) representation of a differential equation.

[@Slurpee_12]

Understood. Thank you for this series. Keep up the fantastic work Michael

[@ziaaquino6837]

Thank you Sir!!!

[@MichelvanBiezen]

Glad it was helpful.

[@sageme1973]

Thank you 🙏

[@MichelvanBiezen]

Welcome!

[@nuhaadriana7673]

thank you so much for this

[@MichelvanBiezen]

You're very welcome!

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the author of the txt book i am reading should get to know you

[@thomaspogorzelski2688]

Was it perko lol

[@sheshmaniyadav1982]

Please Hindi me dijiya na