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I'm currently working on the modelling of a thermodynamic process.

Briefly, I cool down a solution (water + polymer) from -5°C to -15°C to induce a phase separation. At the end (and after removing of the water by lyophilisation) I obtain a porous sponge like material.

The process uses a home made cooling system which can be described like this:

- A Peltier module

- An aluminium layer recovered by teflon (And also a layer of ethanol)

I want to graph the portion of the plane 2x + 3y + z = 6 that are located in the first octant of a xyz coordinate system. The following implicitplot3d should in principle do it:

Hello everyone,

I'm trying to solve the following nonlinear differential equation with the given boundary conditions.


I'm currently working on chemical process thermal exchange and particularly on the solving of the heat equation using a time dependant boundary condition.

Briefly, the process consists in two layers of different materials (M1 and M2, thickness L1 and L2). The bottom part of the material M1 (z=0) is cooled down from Ti to Tf with the function T(0,t)=Ti-R*t (R is the cooling rate in °C.min-1) until T(0,t)=Tf. Here the equilibrium is reached in t=(Tf-Ti...

Hi There,


Wondering if anyone was able to assist...


I'm trying to differentiate the following equation with respect to Qin:




I have tried using the diff command but with no luck, Maple is returning D(T)(Qin-Qp1)*(Qp2-Qin)/(Qp2-Qp1)-T(Qin-Qp1)/(Qp2-Qp1) which is not complete. 


Any assistance would be much appreciated.

Hi, I got a problem that "Warning, solutions may have been lost" when I solve 

eqns := {a+r*t*ln(l)+(1-l)^2*m-b-r*t*ln(s)-(1-s)^2*n = 0, a+r*t*ln(1-l)+l^2*m-b-r*t*ln(1-s)-s^2*n = 0}
vars := {l, s}
solve(eqns, vars)


I'm wondering how to substitute eval(diff(P(x, tau, p), p), p = 0) in the equation below with v[1](x, tau)



I'm writting because I don't know how to solve this problem. I look for it in the web, but I don't

find the solution.


I have a vector with 4 variables, for example:

[54*a +3*b -c +d, 32*a -c +d, 96*b -69*c +85*d, 6*a + 9*b+3*c+9*d]

In really there is 4 equations. And I need to solve with other vector like:



I don't know the commands for do this... I search it in internet but I don't find anything.


I have 10 equations and the summation of them will give me the answer but each of them have small numeric noises and the sumation of them makes the final result inaccurate.  For example the first equation is 

Hi I have a problem with the resolution of an equation. When I tried to solve it it returns "solutions may have been lost"... Here is the problem:

> x:=rand()/10^12;

x := ------------

> X:=RandomVariable(Gamma(2,4));

X := _R

> XL:=RandomVariable(ChiSquare(3));

I've the equation


The answer is 0

But I can't get the answer by simplify and expand

Then which .Thanks

I've written 2 long nonlinear symbolic equations with 2 unknowns in Maple, but it doesn't solve it and says:"Kernel connection has been lost".

I have attached my worksheet to this message; what should I do?

Hi, all of you.
I'm an engineering college student. And this is my first time to check the roots using the Maple.
But I tired to solve simultaneous equations and got  into some difficulties.

Acutually I'd like to get 6 roots[ A[i], t[i], i=(1,2,3).
Initial values are A[1]+A[2]+A[3]=1 and t[1]=0.

So I've simplified for 4 equations to get 4 root and to ask you.
Below, there is my code to get A[2], A[3], t[2] and t[3]. But it doesn't work well.

I need to determine the general solution of the system of differential equations.

System of equations:

dx/dt = 2x-2z

dy/dt = 2y+2z

dz/dt = -2x+2y+4z


Thanks for the help!

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