## 115 Reputation

8 years, 104 days

## solve nonlinear system of equations...

Maple

Hi everybody:

How can I solve this system of nonlinear equations without use the fsolve command?

eq[1] := -3*c[0]+3*c[1] = c[0]*(1-259*d[0]*(1/192)+43*d[1]*(1/64)-11*d[2]*(1/64)+(1/64)*d[3])-23/6;
eq[2] := -3*d[0]+3*d[1] = d[0]*(-2+23*c[0]*(1/80)+139*c[1]*(1/320)-17*c[2]*(1/160)+3*c[3]*(1/320))-1;
eq[3] := -4*c[0]*(1/3)+c[2]+(1/3)*c[3] = (8*c[0]*(1/27)+4*c[1]*(1/9)+2*c[2]*(1/9)+(1/27)*c[3])*(1-2657*d[0]*(1/5184)-343*d[1]*(1/1728)-185*d[2]*(1/1728)-79*d[3]*(1/5184))-3;
eq[4] := -4*d[0]*(1/3)+d[2]+(1/3)*d[3] = (8*d[0]*(1/27)+4*d[1]*(1/9)+2*d[2]*(1/9)+(1/27)*d[3])*(-2+109*c[0]*(1/8640)+553*c[1]*(1/1440)+559*c[2]*(1/2880)+37*c[3]*(1/1080))-5/6;
eq[5] := -(1/3)*c[0]-c[1]+4*c[3]*(1/3) = ((1/27)*c[0]+2*c[1]*(1/9)+4*c[2]*(1/9)+8*c[3]*(1/27))*(1-673*d[0]*(1/5184)-455*d[1]*(1/1728)-505*d[2]*(1/1728)-767*d[3]*(1/5184))-49/27;
eq[6] := -(1/3)*d[0]-d[1]+4*d[3]*(1/3) = ((1/27)*d[0]+2*d[1]*(1/9)+4*d[2]*(1/9)+8*d[3]*(1/27))*(-2-173*c[0]*(1/4320)+241*c[1]*(1/2880)+59*c[2]*(1/180)+2191*c[3]*(1/8640))-11/36;
eq[7] := c[0] = 1;
eq[8] := d[0] = 0;

tnx...

## express the equation ...

Maple

Hi everyone:

how can I obtain the B from A?

A:=u[1, 0](t)*v[1, 3](t)+u[1, 1](t)*v[1, 2](t)+u[1, 2](t)*v[1, 1](t)+u[1, 3](t)*v[1, 0](t)
B:=u[1, 0](t)*v[1, 3](tau)+u[1, 1](t)*v[1, 2](tau)+u[1, 2](t)*v[1, 1](tau)+u[1, 3](t)*v[1, 0](tau)

tnx...

## evalute the matrix...

Maple

Hi everyone:

I have a matrix with 2(n+1) row and (n+1)^2 column, for example, the matrix A at the below with n=1:

A:=Matrix(4, 8, [[-1, 1-t, 0, 0, 0, 0, 0, 0], [0, 0, 1, 1+t, 0, 0, 0, 0], [0, 0, 0, 0, -1, 1-t, 0, 0], [0, 0, 0, 0, 0, 0, 1, 1+t]]);

I want to obtain the B matrix that created by the matrix A with a general code in Maple:

B:=Matrix(4, 8, [[-1, 1-t1, 0, 0, 0, 0, 0, 0], [0, 0, 1, 1+t1, 0, 0, 0, 0], [0, 0, 0, 0, -1, 1-t2, 0, 0], [0, 0, 0, 0, 0, 0, 1, 1+t2]]);

I can the create the A matrix with any value of n and my goal is create the B matrix?

tnx...

## Expression of the matrices...

Maple

Hi everyone:

I have two matrices T(t) and Y[i] :N is natural.how can I do it? tnx.

## define the matrix...

Maple

hi everyone:

How can I define this matrix in Maple? N is a Natural number. Thank you.

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