<![CDATA[Can we numerically solve system of First order nonlinear coupled ODE and plot?]]>
https://help.geogebra.org/topic/can-we-numerically-solve-system-of-first-order-nonlinear-coupled-ode-and-plot
Tue, 11 Jun 2019 18:34:41 +0000Thu, 06 Jun 2019 13:04:29 +0000Zend_Feed<![CDATA[Please post an example of what you want to solve]]>
https://help.geogebra.org/topic/can-we-numerically-solve-system-of-first-order-nonlinear-coupled-ode-and-plot#comment-262554
Thu, 06 Jun 2019 16:01:11 +0000<![CDATA[Pls see attachment . I want to solve numerically and plot this also as i change the condition solution change respectively.]]>
https://help.geogebra.org/topic/can-we-numerically-solve-system-of-first-order-nonlinear-coupled-ode-and-plot#comment-262572
Thu, 06 Jun 2019 18:24:56 +0000<![CDATA[I think this might work :) https://wiki.geogebra.org/e...]]>
https://help.geogebra.org/topic/can-we-numerically-solve-system-of-first-order-nonlinear-coupled-ode-and-plot#comment-262574
Thu, 06 Jun 2019 19:22:31 +0000<![CDATA[Thanks,@Michael Borcherds for your reply. I tried but it am not able to use NSolveODE properly. Is it possible for me you can solve me this for acceleration ,velocity and position . Thanks you very much in advance.]]>
https://help.geogebra.org/topic/can-we-numerically-solve-system-of-first-order-nonlinear-coupled-ode-and-plot#comment-262590
Fri, 07 Jun 2019 02:10:15 +0000<![CDATA[Pls see attachement. How can i solve also check does this correct otherwise pls correct it and if possible solve this for me. Thanks you very much.]]>
https://help.geogebra.org/topic/can-we-numerically-solve-system-of-first-order-nonlinear-coupled-ode-and-plot#comment-262592
Fri, 07 Jun 2019 02:21:12 +0000<![CDATA[I need all parameters. Position (x(t),y(t)) , Velocity (V_x(t),V_y(t)) = (x'(t),y'(t)) , acceleration (a_x(t),a_y(t) =(V_x'(t),V_y'(t)) = (x''(t),y''(t))]]>
https://help.geogebra.org/topic/can-we-numerically-solve-system-of-first-order-nonlinear-coupled-ode-and-plot#comment-262594
Fri, 07 Jun 2019 02:24:59 +0000<![CDATA[Pls see attachment. I tried but there is some problem Pls correct. 1. 't' is not working as a derivative 2. how we get x(t) , y(t) as time 't' passes.]]>
https://help.geogebra.org/topic/can-we-numerically-solve-system-of-first-order-nonlinear-coupled-ode-and-plot#comment-262598
Fri, 07 Jun 2019 05:19:33 +0000<![CDATA[did you mean something like this?]]>
https://help.geogebra.org/topic/can-we-numerically-solve-system-of-first-order-nonlinear-coupled-ode-and-plot#comment-262610
Fri, 07 Jun 2019 11:16:39 +0000<![CDATA[Thanks @mathmagic . . for your reply.. But 't' slider does not work here it is the time derivative of position, velocity and acceleration. I want position x(t) , y(t) ,; Velocity V_x(t) , V_y(t) only by knowing acceleration a_x(t) , a_y(t).. (acceleration is attached) as a function of time. and Point for (x(t) , y(t)) .]]>
https://help.geogebra.org/topic/can-we-numerically-solve-system-of-first-order-nonlinear-coupled-ode-and-plot#comment-262628
Fri, 07 Jun 2019 14:23:29 +0000<![CDATA[redefine mm as function of t and redefine the limits of slidres]]>
https://help.geogebra.org/topic/can-we-numerically-solve-system-of-first-order-nonlinear-coupled-ode-and-plot#comment-262630
Fri, 07 Jun 2019 14:33:08 +0000<![CDATA[Dear @mathmagic i appreciate your support. how can i define x(t) and y(t) from x'(t) ,y'(t). Secondly it is increasing in y(t) as 't' increases . This function should be expected somewhat like parabola . It could be increase in y(t) to some extent with x(t) after certain height then it should decrease y(t) as further 't' increases. I doubt there should be something wrong with attachment.]]>
https://help.geogebra.org/topic/can-we-numerically-solve-system-of-first-order-nonlinear-coupled-ode-and-plot#comment-262632
Fri, 07 Jun 2019 14:57:21 +0000<![CDATA[It is expected there should be 6 numerical solution (Only by knowing V_x'(t) & V_y'(t). 1. 2 Solutions for : a_x(t) = V_x'(t) = x''(t) & a_y(t) = V_y'(t) = y''(t) 2. 2 Solutions for : V_x(t) = x'(t) & V_y(t) = y'(t) 3. 2 Solutions for : x(t) & y(t)]]>
https://help.geogebra.org/topic/can-we-numerically-solve-system-of-first-order-nonlinear-coupled-ode-and-plot#comment-262634
Fri, 07 Jun 2019 15:05:02 +0000<![CDATA[I am not sure but it seems that nsolve solves only equations of n-order the example of the help is: f'(t, f, g, h) = g
g'(t, f, g, h) = h
h'(t, f, g, h) = -t h + 3t g + 2f + tequivalent to f'''(t, f, f', f'') = -t f'' + 3t f' + 2f + t I do not know if nsolve can solve your problem. I can not get it the number of expected solutions is 4 because the solution of ie y'=2y is exp(2x) not two functions]]>
https://help.geogebra.org/topic/can-we-numerically-solve-system-of-first-order-nonlinear-coupled-ode-and-plot#comment-262642
Fri, 07 Jun 2019 21:26:01 +0000<![CDATA[I can shout eureka?]]>
https://help.geogebra.org/topic/can-we-numerically-solve-system-of-first-order-nonlinear-coupled-ode-and-plot#comment-262644
Fri, 07 Jun 2019 21:39:33 +0000<![CDATA[Dear @mathmagic thanks for your time and support. I am analyzing the function. How can i extract V_x'(t) , V_y'(t) as Point and also a_x'(t) , a_y(t) as Point. Once again i am thankful to you and Geogebra Team .]]>
https://help.geogebra.org/topic/can-we-numerically-solve-system-of-first-order-nonlinear-coupled-ode-and-plot#comment-262648
Sat, 08 Jun 2019 04:52:12 +0000<![CDATA[Hayat what are initial conditions for the two equations and the values of C and m ? I suppose that this ode system is very hardy for Geogebra and other CAS (is not a numerical system ). Best wishes. Luigi Marino]]>
https://help.geogebra.org/topic/can-we-numerically-solve-system-of-first-order-nonlinear-coupled-ode-and-plot#comment-262666
Sat, 08 Jun 2019 09:47:15 +0000<![CDATA[numericalint is a locus (path defined with a collection of points) you can see them with l1 = First(numericalIntegral3, Length(numericalIntegral3)) for V_{x} Point(numericalIntegral3, sl) with 0<sl<1 run along the locus y(Point(numericalIntegral3, mm)) is the value of V_{x} with mm=(t-a)/(b-a) ]]>
https://help.geogebra.org/topic/can-we-numerically-solve-system-of-first-order-nonlinear-coupled-ode-and-plot#comment-262676
Sat, 08 Jun 2019 15:18:43 +0000<![CDATA[mathmagic the solutions: 1. 2 Solutions for : a_x(t) = V_x'(t) = x''(t) & a_y(t) = V_y'(t) = y''(t) 2. 2 Solutions for : V_x(t) = x'(t) & V_y(t) = y'(t) 3. 2 Solutions for : x(t) & y(t) have none numbers. The question of Hayat is not express rigth .]]>
https://help.geogebra.org/topic/can-we-numerically-solve-system-of-first-order-nonlinear-coupled-ode-and-plot#comment-262680
Sat, 08 Jun 2019 16:02:56 +0000<![CDATA[Dear @luigi marino i asked bacause a_x(t) = V_x'(t) must give the position , velocity and acceleration along x-axis as 't' passes. similarly a_y(t) for y-axis. So at any moment of 't' i should have one number for each. means 1. a_x(t) = ? , a_y(t) = ? 2. V_x(t) = ? , V_y(t) = ? 3. x(t) = ? , y(t) = ? My question is that. How can i extract above data from attachment by @mathmagic.]]>
https://help.geogebra.org/topic/can-we-numerically-solve-system-of-first-order-nonlinear-coupled-ode-and-plot#comment-262686
Sat, 08 Jun 2019 17:38:38 +0000<![CDATA[a,V are in my last attached the names are ac and v the animation shows the point the velocity and the aceleration]]>
https://help.geogebra.org/topic/can-we-numerically-solve-system-of-first-order-nonlinear-coupled-ode-and-plot#comment-262692
Sat, 08 Jun 2019 19:12:54 +0000<![CDATA[I want to know the position components x(t) and y(t), what is point B it represent the position , velocity or acceleration.]]>
https://help.geogebra.org/topic/can-we-numerically-solve-system-of-first-order-nonlinear-coupled-ode-and-plot#comment-262702
Sun, 09 Jun 2019 03:03:25 +0000<![CDATA[I said you x(t)=y(Point(numericalIntegral1, (t-a)/(b-a))) y(t)=y(Point(numericalIntegral2, (t-a)/(b-a))) V_{x}(t)=y(Point(numericalIntegral3, (t-a)/(b-a))) V_{y}(t)=y(Point(numericalIntegral4, (t-a)/(b-a))) for aceleration see definition of vector ac in my last attached]]>
https://help.geogebra.org/topic/can-we-numerically-solve-system-of-first-order-nonlinear-coupled-ode-and-plot#comment-262708
Sun, 09 Jun 2019 05:01:00 +0000<![CDATA[Thanks for your efforts. How can find locus of Points or Curve of (x(t),y(t)) from t [a,b]]]>
https://help.geogebra.org/topic/can-we-numerically-solve-system-of-first-order-nonlinear-coupled-ode-and-plot#comment-262712
Sun, 09 Jun 2019 08:47:38 +0000<![CDATA[How to find trajectory from of (x(t),y(t)) Line at t [a,b]]]>
https://help.geogebra.org/topic/can-we-numerically-solve-system-of-first-order-nonlinear-coupled-ode-and-plot#comment-262714
Sun, 09 Jun 2019 11:22:10 +0000<![CDATA[locus(B,t)]]>
https://help.geogebra.org/topic/can-we-numerically-solve-system-of-first-order-nonlinear-coupled-ode-and-plot#comment-262716
Sun, 09 Jun 2019 11:22:46 +0000<![CDATA[Thanks a lot...]]>
https://help.geogebra.org/topic/can-we-numerically-solve-system-of-first-order-nonlinear-coupled-ode-and-plot#comment-262720
Sun, 09 Jun 2019 11:32:20 +0000<![CDATA[It's been a great discussion with you @mathmagic . Thanks a lot for your support and Geogebra Team as always.]]>
https://help.geogebra.org/topic/can-we-numerically-solve-system-of-first-order-nonlinear-coupled-ode-and-plot#comment-262722
Sun, 09 Jun 2019 11:49:52 +0000<![CDATA[How can we find the Point where V_y(t) = 0 , also value of 't' where V_y(t)=0]]>
https://help.geogebra.org/topic/can-we-numerically-solve-system-of-first-order-nonlinear-coupled-ode-and-plot#comment-262724
Sun, 09 Jun 2019 11:54:28 +0000<![CDATA[Hayat, can you send me the original mechanic problem ? I try solve this with CAS and RK method. Best wishes. Luigi Marino]]>
https://help.geogebra.org/topic/can-we-numerically-solve-system-of-first-order-nonlinear-coupled-ode-and-plot#comment-262726
Sun, 09 Jun 2019 12:48:35 +0000<![CDATA[Hi @luigi marino thanks for your offer. I almost completed the project and wanted to share my work after completion. Can you pls share your work as i sent a_{x}(t) = V_{x}'(t) , and a_{y}(t) = V_{y}'(t). All the things are related to these two quantities. I really like to see your work . so i can learn something new that how many ways software can solve the problem.]]>
https://help.geogebra.org/topic/can-we-numerically-solve-system-of-first-order-nonlinear-coupled-ode-and-plot#comment-262728
Sun, 09 Jun 2019 13:23:55 +0000<![CDATA[luigi marino , I like to see the solution with RK and CAS method. Pls share your work , because all the things come from a_x(t) & a_y(t). you can use these two ODEs to extract all data.]]>
https://help.geogebra.org/topic/can-we-numerically-solve-system-of-first-order-nonlinear-coupled-ode-and-plot#comment-262730
Sun, 09 Jun 2019 14:51:28 +0000<![CDATA[How to find Point from locus of points like " Locus(B,t) where B(x,y) is Point and 't' is slider " 1. Point where y=0 also at 't' {Like root} 2. extremum from Locus of Points also 't' {Like dy/dx=0} in same attachment by @mathmagic]]>
https://help.geogebra.org/topic/can-we-numerically-solve-system-of-first-order-nonlinear-coupled-ode-and-plot#comment-262732
Sun, 09 Jun 2019 15:19:21 +0000<![CDATA[2. Try (change names if neccesary) C = Element(Sort(First(numericalIntegral4, Length(numericalIntegral4)), abs(y(First(numericalIntegral4, Length(numericalIntegral4))))), 1) D = ClosestPoint(numericalIntegral4, C) e = PathParameter(D) (b - a) + a]]>
https://help.geogebra.org/topic/can-we-numerically-solve-system-of-first-order-nonlinear-coupled-ode-and-plot#comment-262742
Sun, 09 Jun 2019 16:18:25 +0000<![CDATA[Pls see attached . It looks points are not working .]]>
https://help.geogebra.org/topic/can-we-numerically-solve-system-of-first-order-nonlinear-coupled-ode-and-plot#comment-262756
Sun, 09 Jun 2019 18:12:51 +0000<![CDATA[https://www.geogebra.org/m/pvyyzd6x]]>
https://help.geogebra.org/topic/can-we-numerically-solve-system-of-first-order-nonlinear-coupled-ode-and-plot#comment-262760
Sun, 09 Jun 2019 18:43:25 +0000<![CDATA[Thanks , I need one more point where y(t) = 0 and 't' where y=0]]>
https://help.geogebra.org/topic/can-we-numerically-solve-system-of-first-order-nonlinear-coupled-ode-and-plot#comment-262762
Sun, 09 Jun 2019 19:10:31 +0000<![CDATA[How can we find y(t) = 0 and 't' where y=0]]>
https://help.geogebra.org/topic/can-we-numerically-solve-system-of-first-order-nonlinear-coupled-ode-and-plot#comment-262768
Mon, 10 Jun 2019 03:56:15 +0000<![CDATA[same way Y'==0]]>
https://help.geogebra.org/topic/can-we-numerically-solve-system-of-first-order-nonlinear-coupled-ode-and-plot#comment-262808
Mon, 10 Jun 2019 17:31:03 +0000<![CDATA[Hayat your problem on motion of projectle with quadratic air resistance is very hard. The numeric solutions is qualitative for some initial conditions, Geogebra can only graph a model. The difficult is integrate vx and vy from numeric out. Are you a student ? Look at phisics lecture. Best wishes. Luigi]]>
https://help.geogebra.org/topic/can-we-numerically-solve-system-of-first-order-nonlinear-coupled-ode-and-plot#comment-262852
Tue, 11 Jun 2019 08:30:27 +0000<![CDATA[But i tested this numerical result with LAT, HAT, SAT with closed form solution, it worked very well also i want to add some more forces i tired it looks work well, how can i add them properly. Pls help me to figure it out.]]>
https://help.geogebra.org/topic/can-we-numerically-solve-system-of-first-order-nonlinear-coupled-ode-and-plot#comment-262896
Tue, 11 Jun 2019 18:41:15 +0000<![CDATA[How can i find Point on x(t) where y(t) = 0. as in attached by mathmagic.]]>
https://help.geogebra.org/topic/can-we-numerically-solve-system-of-first-order-nonlinear-coupled-ode-and-plot#comment-262898
Tue, 11 Jun 2019 18:34:41 +0000