Solving Differential Equations in Mathematica

[@varaleo1985]

I came to learn about plotting ODEs, and I'm leaving with more skills in Mathematica than I was expecting. Thank you very much.

[@johnestesmath3036]

Thank you for the kind feedback and the subscribe! I'm glad it was helpful.

[@ShayanAsim]

Thank you for this. Needed a quick refresher on these functions. Subbed and will go through more of your videos. :)

[@johnestesmath3036]

Thanks for the compliment! I hope it's helpful.

[@rohanjoshi3785]

Could you tell me how does the function Evaluate works at 2:23

[@johnestesmath3036]

When you're plotting a table of functions, Mathematica first evaluates the table and then plots the result. Evaluate[ ] tells Mathematica to plot the functions one at a time. The end result is that without Evaluate[ ], all of the functions are the same color, and with Evaluate[ ] you have a variety of colors.

[@johnestesmath3036]

It's mainly for aesthetics, but also allows to see the different functions.

[@johnestesmath3036]

In another video, I show how you can plot a table, but also specify the colors with a table. Check it out if you're interested (at the 16:00 minute mark). kzbin.info/www/bejne/aX-1p3-LgJ6opdU

[@qingxiakong7552]

Thank you. Your video is very clear and helpful. Look forward to seeing more of them.

[@johnestesmath3036]

Thank you so much!

[@samkz1843]

Is there command to transform ODE into separable form?

[@johnestesmath3036]

That's a good question. I haven't really tried. Does FullSimplify[ equation ] work? I'll have to play around with it.

[@samkz1843]

@@johnestesmath3036 I think that FullSimplyfy in some case doesn't work

[@PAJ_L2001]

That's pretty cool!

[@b.hemalathapremkumar3663]

John..., how to solve momentum equation using Mathematica.... Plz upload some examples in it...ll b helpful....

[@BK-dx3cp]

I need help with Pplane in mathematica.

[@johnestesmath3036]

Can you clarify what you mean by the pplane?

[@BK-dx3cp]

I’m still learning this software, where I learnt pplane stands for Phase plane, used to solve a system of differential equations

[@sureshkumarasamy]

How to solve a 4 dimensional differential equations and plot directional field of any two variables.

[@ArystanSabir]

That's amazing, keep it up!

[@johnestesmath3036]

Many thanks!

[@manojprabhakar9111]

thank you very much.....was helpful to me

[@johnestesmath3036]

Glad to hear that! Good luck out there.

[@srinivas941000]

Thank you for such a nice and informative video.

[@johnestesmath3036]

I hope it was helpful! Thank you for the feedback!

[@akshikastats8891]

can you please show how to minimize total cost

[@johnestesmath3036]

HI Akshika, can you provide a little more context? I might can help.

[@PankajSaini-ki4su]

How to solve two coupled differential equations say dx/dt and dy/dt for two initial values x(0) =#, y(0) =#.

[@svmafnas]

Life Saver! Thank You So much!

[@stephenmaharaj5230]

Thanks, very helpful.

[@johnestesmath3036]

I'm so glad to hear that!

[@raminas9028]

Thx

[@alirezaansari7208]

dude you should explain first what ist the program that you are using for the people who are not familiar to it

[@johnestesmath3036]

@alirezaansari7208 understandable. I do have an Intro to Mathematica video as well if you wanted to take a look.

[@osaiasilolohea6107]

Thanks Jake Gyllenhaal oops,,, John sorry :)

[@johnestesmath3036]

That's hilarious. I've gotten a couple Gyllenhaal comments lately. In the early 2000's, it was Elijah Wood.

[@ShayanAsim]

Holy cow! Now I know who he looks like!