How do I solve boundary layer equations with hmp (homotopy perturbation method) in Maple? 

I can't understand how to solve. Can anybody help me please?

I have the following ODE perturbation problem which I want maple to solve for me:

q'(\tau)=f(p(eps*\tau)+eps*q(\tau),r(eps*\tau)+s(\tau))-f(p(eps*\tau,r(eps*\tau)+s(\tau))-f(p(eps*\tau),r(eps*\tau))

where q(\tau)=q_0(\tau)+eps*q_1(\tau)

p(eps*\tau)=p_0(eps*\tau)+eps*p_1(eps*\tau)

s(\tau)=s_0(\tau)+eps*s_1(\tau)

r(eps*\tau)=r_0(eps*\tau)+eps*r_1(eps*\tau)

I want maple to expand every function that depends on eps in its arguments by a Taylor series around eps=0, i.e h(eps)=h(0)+eps*h'(0)

and also expand the difference above the fs with an eps-expansion around eps=0.

I did all this manually now I want to check if my calculations are correct, eventaully I want to equate same powers of eps of the RHS and LHS of the first ODE I wrote above.

Then how to use maple for this?

Thnaks.

While using the RKF45 in MAPLE to solve ODE w.r.t. time, analysis results came out without any information regarding a total number of iterations or a total number of time steps used in the actual analysis.

I would like to know how can this information be checked in the MAPLE.

Thank you very much.

Does there exist a Maple command that on its own calculates the residual standard error of two regression lists? 

Let p(x) be a real polynomial of degree 6.  You are given that p(−4+i)=0.  Find a real quadratic factor of p(x) and enter it in the box below using Maple syntax.  (Don't forget to use * for mulitplication.)

Ans=x^2+8*x+17

Please tell me how to combine the two graphics. I can't bring them together. question.mws

I have been using fsolve to derive constants for a polynomial. These are presented clearly in blue, but I am unable to reference these numbers for further calculations other than by typing them in manually. e.g. output is:

{d = 520.9032305, c = .41478630e-1, b = -.84548378e-5, a = .125070852e-8}

fsolve({y[1]=a*x[1]^3+b*x[1]^2+c*x[1]+d,y[2]=a*x[2]^3+b*x[2]^2+c*x[2]+d,
> y[3]=a*x[3]^3+b*x[3]^2+c*x[3]+d,y[4]=a*x[4]^3+b*x[4]^2+c*x[4]+d},{a,b,c,d});

Hi

I use dsolve( sys ode, ics)  and  dsolve( sys, ics, numeric) but both does not gives any solution of the system proposed. 
May be I must fix some parameter or something else.

problemdisplaysolution.mw

many thinks

Help create file Excel in ExcelTools, but error row 564?

thu_file.mw

Please help me? 

hi

i have a vector [V] and want to calculate f:=V^2;  and plot(V,f);how to do that?

i tried this but you can see in fig uploaded that an error occured.

I want to solve the transient heat diffusion equation in a semi-infinite solid, both analyticall and numerically:

restart:with(geometry):with(plots): 
> S:=segment:L:=line:Per:=PerpendicularLine: 
> R:=5:xA:=0:yA:=0:point(A,xA,yA):xI:=R/3:yI:=0:point(I1,xI,yI): 
> circle(C,[A,R]): 

> quadri:=proc(t) 
> local xM,yM,xN,yN,xE,yE,dr1: 
> xM:=evalf(R*cos(t)):yM:=evalf(R*sin(t)):point(M,xM,yM):L(lMI,[M,I1]): 
> intersection('h',C,lMI,[M,N]):L(lAM,[A,M]):L(lAN,[A,N]): 
> Per(lME,M,lAM):Per(lNE,N,lAN):intersection(E,lME,lNE): 
> S(sAM,[A,M]):S(sAN,[A,N]):S(sME,[M,E]):S(sNE,[N,E]): 
> dr1:=draw({lMI(color=blue),sAM(color=black),sAN(color=black), 
> sME,sNE}): 
> display({dr1}): 
> end: 
  
> dr:=draw({C},view=[-6..17,-10..6]): 
> display([dr,quadri(0.7),quadri(1),quadri(1.2)],view=[-6..17,-10..6]); Thanks you.

Hii,

I am using a command -NLPSolve(Ecost1, Q = 10 .. 20, initialpoint = {Q = 10}, assume = nonnegative, maximize = false). I am looking for solution that find the Q value at the minimum value of Ecost1. But Ecost1 should not go below 0. 

and also I am getting an error -Warning, initialpoint option ignored by solver.

Kindly tell how to deal with these issues.

Thanks

Hi， How can I  to assign a sequence number once. For example,

I want to ‘a₀,a₁,......a_n is assigned to variables x₀ , x₁,......, x_n,’

I used command line as following ：

seq(x[i], i = 1 .. 5) := [1, 2, 3, 4, 5]，error as follows，‘Error, invalid left hand side in assignment’
Any  suggestion？

I need help on solving the following PDE by Maple:

https://math.stackexchange.com/questions/3177491/how-to-solve-the-given-partial-differential-equation

I couldn't write the partial differential equation in Mapleprimes so provided the link from somewhere else. Please help. Thank you.