Items tagged with ode ode Tagged Items Feed


I am trying to get a shaded area in my plot but I could not.

First we solve ODE without randomness:

ode := diff(U(t), t) = -(A+B*U(t))*U(t);

Then we add randomness to ODE and solve:

ode2 := diff(U(t), t) = -(A+r(t)+B*U(t))*U(t);

A with randomness for r in R=( - 0.0001/365, 0.0001/365) is:

A(t,r)= A+r

Where A is constant =  0.0001/365

We plot both solution. For the plot I...

Hi all I have the following ODE

ODE_1:=diff(w(r),r)+R*(diff(w(r), r))^3=K/r;

ODE_T_1:=collect(algsubs(w(r)=u(r)+(r-1)*(U-0)/(delta-1), ODE_1),diff(u(r), r)) ;


 and when I try to do the following integration,

eq1:=int(phi[i](r)*ODE_T_1, assuming delta > 1;

it gives the following error


Error, (in assuming) when calling 'int'. Received: 'wrong number (or type) of arguments:

The system of ODEs i am trying to analyse is just a 3d model of a ball in motion with gravity and air resistence acting upon it.



eq1 := diff(x(t), t, t) = -k*sqrt((diff(x(t), t))^2+(diff(y(t), t))^2+(diff(z(t), t))^2)^(n-1)*(diff(x(t), t))

eq2 := diff(y(t), t, t) = k*sqrt((diff(x(t), t))^2+(diff(y(t), t))^2+(diff(z(t), t))^2)^(n-1)*(diff(y(t), t))

eq3 := diff(z(t), t, t) = -g-k*sqrt((diff(x(t), t))^2+(diff(y(t), t...



I have two separate procedures, one which solves a series of ODE's using the midpoint runge-kutta method, and one which solves using the Taylor expansion.

I am able to graph the two results (Q1 vs time) on separate graphs within the procedure, however after "end proc" I can't retrieve the figure or plot the two seperate results on the same graph to compare the values.

Is there an easy way of doing this or do I have to rewrite the procedure to include both methods?

Hi, I am trying to plot a solution curve on a vector field with an initial condition of y(0)=0 and I keep getting error messages. This is what I have so far:


with(DEtools); dfieldplot(diff(y(x), x) = x^2+y(x)^2-1, y(x), x = 0 .. 5, y = -1 .. 5, arrows = line, title = 'Slope*Field');


Thank you. 


After upgrading to Maple 16.02, the Maple code:


produces the directions field but fails to produce the solution curves.

I have tried the same code on two different machines running Maple 16.02 with identical results.  I have also tried the code on Maple 16.01.  In this case the solution curves are produced.


I have already solved my ODEs and used odeplot to analyse the change over time (0 to 10).

Below is my ODE,

d(a(t))/dt = x - y*(a(t))

d(b(t))/dt = m*a - n*(b(t))


My query here is,

I need to substitute a(t) and b(t) in a seperate equation,

h(t) = 60/0.98 * (a(t))*(b(t))

and i need to plot 'h' over time (0 to 10)

How do I go about doing this?

Please help.



Hey guys..

I need some help on determining the correlation coefficient between my data points for an Influenza epidemic and the SIR model, with my estimated parameters Beta and Alpha. The initial conditions for the equations are defined at the beginning of my worksheet:

Hope someone can help me ;)




Hey guys

I am currently working on my final project in high school. This project is about mathematical modelling within epidemology, and i am currently working on the mathematical models based on the SIR model.

The basis models for the SIR model were pretty easy, but i cant figure out how to fit data to my models. My first idea was to use the method of Leastsquare and/or Nonlinearfit, but i cant figure out how to do this in maple.

Suppose X with two dots on the top +2*x with one dot on the top +3*x=4*t;x(0)=1; x with one dot on the top =2. using maple and Euler method approximate x(3.0) and x with one dot on the top (3.0) using a step size of h = 0.01. Edit your output to fit on one side of a single sheet of paper. Include Maple source code and circle the values for x(3.0) and x with one dot on the top (3.0).

hello boffins

if my de was soluble analytically, I would get an expression of time in terms of the other variables (V,theta,x) easily, but because it is only numerically solvable, i get an expression x(t)=proc(t)...,- the variables V and theta are mixed up in it-. Is there anyway they can appear?

I know I can put numerical values on V and Theta (and x) and solve for time (using parameters...

Hi, I need help with graphing a certain logistics population model for an initial population size that is equal to 1.

dy/dt = k(1 - y/M)y  k=2 M(t)=10e^-t/5 +3(1-e^-t/5)

So far I've worked out the values to input, but I don't know how to write it in Maple.

I know all I have to replace is the M in the dy/dt equation with these 2 values.

M(0) = 10

M(t goes to infinity) = 3


I'm trying to solve the following


> de := proc (omega, l, M) options operator, arrow; diff(y(r), `$`(r, 2))+(2*r-2*M)*(diff(y(r), r))/(r*(r-2*M))+(omega^2*r^2/(r-2*M)^2-l*(l+1)/(r*(r-2*M)))*y(r) = 0 end proc;


I need to plot M vs phi from the following ode. For this I am using implicitplot but unfortunately

I am getting empty plot. Please guide me through this issue.


eq1 := 1/(1-phi)^2.5/(1+4117/783*phi)*diff(f(eta),`$`(eta,3))+1/2*f(eta)*diff(f(eta),`$`(eta,2))

+M*(1-diff(f(eta),eta)) = 0;



Hi all,


I have a strange problem with the Classic worksheet in maple 15. To explain the problem i added an image.

when i want to plot vergl_6 without copying the equation i get an error. But when i just copy and paste equation 6 like i did everything works like i suspect.

Can anybody tell me the problem? I need to...

First 9 10 11 12 13 14 15 Last Page 11 of 22