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I'm trying to find the partial sum of the function. Now I need to plot the first couple partial sums onto 1 graph.

I'm not really sure how to input the plot function. I was able to graph it by inputting each partial sum function but I would prefer an easier solution.

1. how to do optimization with partial differential equation as constraints in maple

2. how to do optimization with  partial differential equation as objective function in order to make output obey this model

Hi, I have a bivariate generating function that looks like this


where x is enumerating by binary strings by length and k is counting a number patterns in the string. I would like to convert the series into partial fractions. Convert[parfrac] only seems to work when k is given a value, which I did for several small small choices, from which I guessed the general partial fraction decomposition. Would someone have an idea on how to extract the partial fractions directly in terms of x and k?


best, Luke

When trying to solve a set of partial differential equations, I always get the following error. I don't know what it means. Can somebody help me?


Hi there,

I'm quite new to Maple so please forgive me! I have a system of partial differential equations I'm trying to solve in Maple as such below 


df/dt = f(1-f) - f * h

dg/dt = g(1-g) * Gradient(1-f * gradient(g))

dh/dt = (g - h) + Laplacian(h),

where f,g,h are functions of space and time (i.e. f(x,y,z,t)). I guess my first question is - is this possible in Maple to evaluate? (I'm currently unsure on ICs as I'm figuring it out from the model - it's a model for cancer growth I'm trying to evaluate but have a rough idea of what I'd use).

If it is possible, can you please share how I'd write this? Everytime I've tried I seem to be failing to define anything properly, so your expertise would be greatly appreciated!

I am trying to illustrate the chain rule for multivariet functions




The Maple responce is D1(f)(u(x,y),v(x,y)*(partial of u(x,y) wrt x) +..etc


I would like to replace the D- notation with the standard notation for the "partial of f wrt u" for obvious reasons - this is what students are familar with. The convert cmnd Doe Not Work in this case.


Similarly the cmnd diff(u(x,y),v(x,y),x,x) gives rise to D1,D11, D12 symbols which I would likee to convert to standard partial notation.


All this is a BIG DEAL when trying to illstrate the chain rule in Cal III.


Joe Salacuse


Kettering University

        i am wording on fluid dynamics, in which i can up a system of nonlinear partial differential equation with i am suppose to solve using implicit keller box method. i need an asistance on how to implement this in maple.

i have got alot of mixed and high degree derivatives. For example:

u[x]*u[x,t]*eta[x,t]+u[]^2*u[x]*eta[x]+kis(x,y)u[x,t]^2*u[]+eta(x, y)*u[]*u[x]^2+ksi[x,t]*u[x]^2*u[x,t]+......

like this alot of terms

my question is how can i solve divided by the derivative of the u(x,t) partial differential equations system and so  how can i find eta(x,t,u) and ksi(x,t,u) 

Hey everybody I am trying to get maple to do some partial differention for me. 



I have PDEtools on but, it doesnt return an expression correctly. It's I think the problem is because Ψ is a function of (x,y) and f is a function of η and η is a function of x and y . U and ν are constants. vand vy are the x and y velocites. 


What I would like the program to return when I write 

is something along the lines of 


could someone give me a hand on this. I would really apperciate it. 


Best Regards, 


Hi, I am looking for some help for a computation on Maple. I have the following objects


I'm trying to solve the effects (deflictions, tensions, etc) of a load on a timoshenko beam. It uses two partial diffential equations, wherein q is the load:

> PDE1 := kappa*G*A*(diff(y(x, t), x, x)-(diff(theta(x, t), x)))-rho*A*(diff(y(x, t), t, t))-q;

> PDE2 := E*J*(diff(theta(x, t), x, x))+kappa*G*A*(diff(y(x, t), x)-theta(x, t))-rho*J*(diff(theta(y, x), t, t));

The boundary conditions are that in the corners the moments (derative of theta...

Hey everyone. The last few days I work on a non-linear PDE. 
U*`∂`(F(s))/`∂`(x) = -k*sigma*cos(theta)*`∂`(F(s)*kro(s)*`∂`(J(s))/`∂`(x))/(`μo`*sqrt(k/phi)*`∂`(x));
with boundary conditions: when x=-∞: s=swi       and  
x=L : U*dF(s)+k*sigma*F(s)*kro(s)*`∂`(J(s))/(`μo`*sqrt(k/phi)*`∂`(x))
I need to plot...

How can I see the steps of solving a PDE ( partial differential equation ) in maple .
for example see the sepration variables and other equations that lead to final Eq .

how can i solve pdes of the following form in maple

[tex] tc(t,x)\frac{\partial a(t,x)}{\partial t} - ta(t,x)\frac{\partial c(t,x)}{\partial t} = a(t,x)c(t,x) + t(a(t,x))^2 and be able to find both functions a(t,x) and b(t,x)


u := proc (x, y) options operator, arrow; u[x](x)*(y/delta(x)-2*y^2/delta(x)^2+y^3/delta(x)^3+B*H*(1-3*y^2/delta(x)^2+2*y^3/delta(x)^3)/delta(x))/(3*B*H/delta(x)+2) end proc

int(u(x, y)^2, y = 0 .. delta(x))


I tried the following partial integration in MAPLE. But Maple says:

Error, (in u[x]) too many levels of recursion.
Analytically it is possible to evaluate the integral in the above lomits. Where lies the problem?
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