How to integrate the below function from 0 to eta.

A := P(eta)+S(H-2*`cosθ`(eta+1)*F)+`cosθ`*(2*F(eta)-2*H*F) = S(eta+1)*`sinθ`*F(theta)-`sinθ`(F*H(theta)-H*F(theta)+F(theta, eta))

Thanks in advance

HI, I have numerically solved the given problem using the dsolve command But I want to solve the same problem using the Differential transformation method.
Can anyone help me to get the series solution for the given problem using DTM.

I want to compare the numerical results with DTM results when lambda =0.5.

eqn1 := diff(f(eta), `$`(eta, 3))+f(eta)*(diff(f(eta), `$`(eta, 2)))-(diff(f(eta), eta))^2-lambda*(diff(f(eta), eta)) = 0.

eqn2 := diff(theta(eta), `$`(eta, 2))+f(eta)*(diff(theta(eta), eta))*Pr = 0

Bcs := (D(f))(0) = 1, f(0) = 0, (D(f))(infinity) = 0, theta(0) = 1, theta(infinity) = 0;

[lambda = .5, Pr = 6.3]

Dear all

I need to  `Put markers to emphasize the point of intersection between f, and g

iteration.mw

thank you

x := [0, 1, 2, 3, 4, 0, 1, 2, 3, 4, 0, 1, 2, 3, 4, 0, 1, 2, 3, 4, 0, 1, 2, 3, 4]

y := [0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4]
z := [0, 0, 0, 0, 0, 0, .689376362, 1.378752724, 2.068129087, 2.757505449, 0, 1.02920355, 2.0584071, 3.087610649, 4.116814199, 0, 1.216469264, 2.432938529, 3.649407793, 4.865877057, 0, 1.325720912, 2.651441823, 3.977162735, 5.302883646]

How to plot the contour plot for the given data

Hello!

How do I solve this system? could someone help me please.

restart;
eqns := {x(t+1) = (1+10^(-6)*(0.4e-2-0.6e-2)/(0.1e-3))*x(t)+0.7e-1*10^(-6)*y(t),

y(t+1) = 0.6e-2*10^(-6)*x(t)/(0.1e-3)+(1-0.7e-1*10^(-6))*y(t)};

with:
x(0) = 1
y(0) =
y(0) = 857.1428571

Download SystemRecursive.mw

Dear all

How can I add more terms, in taylor approximation of odes. 

Attached the code well written for only second order approximatiom, how can i get the fourth order approximation in taylor expansion to approximate an IVP

taylor_fourth_order.mw

thank you

Dear all

I solved a linear system using Jacobi method , then I plot the solution, someting is wrong, I can't plot the solution 

jacobi.mw

Thank you for your help 

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I try to create a table with four columns but someting wrong, the code contains few lines, 

table_columns.mw

Thank you for your help 

dear all

I have a system of 4 equations with 4 unkowns, but maple says that there 7 unknowns, and fsolve does return any solution

problem_solve_system.mw

Thanks

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I tried to solve a second order ODE, using dsolve but maple doest not return an explicit solution and no solution plotted. 

solve_ode.mw

thank you for your help 

Dear all

I tried to redo the same steps as presented in 
https://www.youtube.com/watch?v=l4Y3iQrPBa8
using Maple 

BUT, I  have an error, 

                               Error, (in assembly) bad index into Vector
I hope find the error in maple code

code1.mw

thank you 

Dear all

I just write a code, everything is well written, but using 

M := Multiply(y11, Transpose(s)) 

I get a table and not a matrix,  PLEASE see equation 19 and 20

probem_multiply.mw

Thank you for your help 

Dear all

I have a nonlinear system of algebraic equations, I would like to solve it  without using fsolve and Newton's method. 
Maybe one can use, fixed point method or Broyden's method

Fixed_Broyden_method.mw

Can we solve the system of 4 equations, using the proposed methods

thank you 

Dear all

I tried to use the command Secant to solve a nonlinear system of equations, In the following, example of two simple equations, how can I use Secant to solve the problem

secant_for_system.mw

Thank you 

Dear all

I have  a funciton f(x,y) 
I compute the critical point, maple gives me three different points, denoted in the code tmin 

from these points how can I fix one  one of them that  give me the min( f(x)) 

code.mw

thank you for any help