Using Mathematica for ODEs, Part 1 (Use DSolve and Plot for a pure antiderivative problem)

[@LaLakrs]

Great video. I'm new to Mathematica and am taking a nonlinear dynamics, chaos and fractals course and these beginner tutorials are extremely helpful. Thanks so much.

[@billkinneymath]

You're welcome. Unfortunately, I probably won't be making more ODE videos until January of 2015 (only 3 are posted at the moment). Too busy at the moment with other things.

[@TheTomorrowDream]

Great video!!! this help because I'm new using mathematica, thanks!!!!

[@billkinneymath]

You're welcome!

[@freedom4iranianpeopl]

Good and helpful thanks

[@jamesbaldwin7169]

How would you do this if your function was, say, y' = t^2 +y ?

[@jamesbaldwin7169]

nvm, you just need to type y[t] in the function

[@vbacz]

@@jamesbaldwin7169wait where please explain

[@vbacz]

Nice

[@abanoubmikhail3374]

Thank you

[@billkinneymath]

Abanoub pop You're welcome!

[@JohnM...]

I prefer in odes an implicit solution, which mathematica doesn't seem to give (or I'm unaware of it)

[@billkinneymath]

I'm not aware of a way to get it in implicit form either. Though if you can get it in implicit form by hand, you can then use ContourPlot to plot the resulting implicitly-defined curve.

[@JohnM...]

Bill Kinney I made up 2 small " programs" - Just a few lines really, where you have the ic's and you get the implicit form since the input of one line depends on the previous lines output. It's so cool! I love doing Exact equations that way too, and contourplot is great for seeing different ic's and values of the constant. Thanks for the post! Great video.

[@billkinneymath]

If you want, you can send me your code at [e-mail].

[@inteusproductions]

I got this error when I inputted the same for the initial value problem. DSolve::deqn: Equation or list of equations expected instead of False in the first argument {(y^\[Prime])[t]==t^2,False}. >>

[@billkinneymath]

+inteusproductions Send me a screenshot of your code with the error at [e-mail] and I'll see if I can figure out what's wrong with it.

[@aeroscience9834]

It means one of your variables for your initial condition is already preset to a value. math.stackexchange.com/questions/96563/error-when-using-mathematica-to-solve-differential-equation

[@kaleemullahuom3696]

how can i recover calculations from graph plotted in mathematica. i have lost the calculations. while the grahs are present in coral draw. plz plz plz!!!!!!!!

[@billkinneymath]

I'm not sure why you lost them. If it's not too much to do, maybe you could just retype them?

[@samworthick]

THANK YOU!!!

[@samkz1843]

Is there command to transform ODE to separable form?

[@billkinneymath]

Not that I know of.

[@wamid455]

Привет всем у кого ЕНГ200 в НУ))