i have three nonlinear pde equations and i want to solve them,with any initial or boundary condition possible,can anyone help me solve them?
it is of no importnace to solve them numerially or not. 

from (x+2)^4

sys:=[a[2]*b[2] = 1,a[1]*b[2]+a[2]*b[1] = 8,a[0]*b[2]+a[1]*b[1]+a[2]*b[0] = 24,a[0]*b[1]+a[1]*b[0] = 32,a[0]*b[0] = 16];

solve(sys, {a[0],a[1],a[2],b[0],b[1],b[2]});

hello friends 
please can anyone can help me in removing error from this worksheet.
working.mw

How would one plot the intersection of the surface z=3.5 and the surface described by a matrixplot

Here is an arbitrary matrixplot surface for an example.

matrixplot([[3, 4, 5, 1, 1, 1, 2, 3, 2, 1, 7, 8], [2, 3, 4, 1, 2, 1, 2, 1, 2, 1, 2, 5], [7, 8, 7, 6, 7, 8, 4, 5, 3, 2, 1, 2], [2, 1, 2, 4, 5, 6, 5, 6, 7, 6, 5, 6], [2, 3, 2, 4, 5, 4, 5, 6, 7, 6, 5, 4], [9, 8, 7, 8, 9, 8, 9, 8, 7, 8, 9, 8], [9, 8, 7, 8, 8, 8, 7, 8, 6, 8, 7, 6]]);

In the following code, why is B returned unevaluated?

restart:
A:= a:  B:= 2:
F:= _a-> eval(`if`(A,B,C), a= _a):
F(true);
                               B
eval(B);
                   ...

Hello,When I plot graphs I can simply add colors, gridlines, labels, etc., but when I want to do this with the command 'Explore' it doesn't work.The commad 'Explore' sees the words 'color', 'labeldirections' and other commands as extra variables.For exmaple is does recognize 'labels' and 'title', which I can fill in, but it doesn't some of the other commands I would like to insert.I have a formula for deriving the eigenfrequency of a concrete beam, where I want to add some things to (like the things mentioned above).Somebody knows what the difference is between 'normal' plotting and plotting with 'Explore'?Explore_-_Adding_Col.mwGreetingsFrank

1 1 2

1 2 2

for example, above

is there a function to represent it as a group

Dear sir,

 I am unable to evaluate the mean pressure drop graph for different values of k , i will be thankful to you if any one solve my problem

here is my codes and mean pressure drop equation

restart:

with(DETools):

with(IntegrationTools):

eta:=1+k*x+epsilon*sin(2*Pi*x):

epsilon:=0.1:

R:=1.0:

A:=0.0628:

delta:=0.1:

k1:=k*delta:

alpha:=1.0:

A1:=(-exp(-alpha*x))/(2*eta^3):

A11:=diff(A1,x):

A2:=(3*exp(-alpha*x))/(2*eta):

A22:=diff(A2,x):

A3:=12*R*A1*diff(A1,x):

A4:=6*R*(A2*A11-A1*A22):

A5:=(1/2)*((k1+A*cos(2*Pi*x)))*((diff(A1,x)*eta+diff(A2,x)*(1/eta)))-(A3*eta^4/280)-(A4*eta^2/60):

A6:=(A3*eta^6/420)+(A4*eta^4/120)-(1/2)*((k1+A*cos(2*Pi*x)))*((diff(A1,x)*eta^3)+diff(A2,x)*eta):

psi0:= A1*y^3+A2*y:

psi1:= A3*y^7/840+A4*y^5/120+A5*y^3+A6*y:

psi:=psi0+delta*psi1:

V:=-diff(psi,x):

U:=diff(psi,y):

Ux:=diff(U,x):

Uy:=diff(U,y):

U2y:=diff(Uy,y):

g1:=delta*Ux:

g2:=int(U2y,x):

g22:=(1/delta)*g2:

g3:=U*Ux:

g33:=int(g3,x):

g4:=V*Uy:

g44:=int(g4,x):

P:=g1+g22-R*(g33+g44):

P1:=(1/eta)*int(P,y=0..eta):

Po:=subs(x=0,P1):

d1:=(Po-P1):

a0:=subs(k=0.0,d1):

a1:=subs(k=0.1,d1):

a2:=subs(k=0.5,d1):

plot([a0,a1, a2], x=0..1, title = "Mean Pressure Drop, alpha=1.0", legend = [k = 0, k= 0.1,k= 0.5], titlefont = ["ROMAN", 15], labels = ["x ", "Pd"], labeldirections = ["horizontal", "vertical"], labelfont = ["HELVETICA", 10], style = [POINT],symbol = [BOX,CROSS,CIRCLE],color = [black, black,black], axesfont = ["HELVETICA", "ROMAN", 8], legendstyle = [font = ["HELVETICA", 9], location = bottom],axes=boxed);

The "ExcelTools" seems can work based on Excel 2003 format,which can only support 2^16 rows.Excel 2010 format cantains much more rows and columns. So I want to know when maple can support Excel 2010?

hey friends I am attaching my worksheet. In it am working on wavelet method now problem is in the end of worksheet am having output of  four column vector matrixes and i want all these column vector matrixes in A matrix of order n x n but problem is am not getting my desire matirx form. I want all the entires from all the vector column matrix to be wriiten in the matrix A in column wise.

new.mw

Hello,

I am trying to solve the coupled system of PDEs. Maple throws below error(highlighyted in bold letters) when I try to solve it using 'pdsolve'. Attached is the maple worksheet(BatteryPDEEquationsBackUp8thJuly13_constantCurrentInput.mw) having complete code. Please help. 

> pds := pdsolve(BatSys, IBC, numeric, variables, time = t, range = 0 .. L[N]+L[sep]+L[P]);

Error, (in pdsolve/indexlex) invalid input: a string/name list is expected for sort method `string`...

-(1/2*I)*(I*Pi*ln(2)-I*Pi*ln(g+4)-2*ln(2)^2+2*ln(2)*ln(g+4)-2*ln(2)*ln(-1/2*I)+ln(g+4)*ln(-1/2*I)-ln(g+4)*ln(2*I)+ln(-1/2*I)*ln(4-g)+ln(4-g)*ln(2*I))/Pi

 

why doesnt maple simplify this expression any further?

I tried radnormal and simplify.

but he complains when using combine saying:

Error, (in combine/ln) second argument must be a maple type

Why is that?

Yesterday I’ve updated to the new Version 17.01 and now I’ve the problem that I cannot enter  ‚}‘ and another problem is an exponent e. g. x^2. To enter it I have to write x^22. The first number is not shown in the worksheet.

I hope someone can help me to solve this problem.

what is the normalization constant N for this wave function x range from  x=o and x=L ?