MaplePrimes Questions

Hi, I try Aproximate integral with simpsons method, but i want value in function the a with number solution:

 

with(Student[Calculus1]);
ApproximateInt(a*tan(x)-2*x, x = -100 .. 100, method = simpson, output = plot, partition = 500);

This error.

 

How we can construct conservation laws of fractional differential equation with Maple?

Hi I try this integral:

m2 := int(exp(-(1/2)*z^2)*((exp(B*J*sqrt(q)*z))^2-1)/(sqrt(Pi)*sqrt(2)*((exp(B*J*sqrt(q)*z))^2+1)), z = -infinity .. infinity)

But not resolve.

How can i do?

Regards.

Basically what I'm trying to do is use Newton's method to find the root of f(x)=sqrt(x)+ln(0.1x) starting at x0=5 within a tolerance of 0.001.

 

f := proc (x) options operator, arrow; sqrt(x)+ln(.1*x) end proc

> xk := 1.0;
print(`output redirected...`); # input placeholder
                              1.0
> for k to 6 do xk1 := xk-f(xk)/(D(f))(xk); xk := xk1 end do;
 

 

When I do that, Maple barfs out pages of nonsense when I'm looking for it to give numerical values. It seemed to work fine with a different function, so maybe that's part of the problem? But I need to do it with the function I asked about.

Respected member!
Please help me to find the solution of attached problem,  I am a new user so please forgive any mistakes.maple.mwmaple.mw

Hello,

I have been trying to solve a simple nonlinear equation. Im interested in the solution per say rather than the plot but when I browsed about the commands to use, this came up. I tried it in my case and it is giving me the following errors:

ode.mw
 

``

restart;

``

with(plots);

[animate, animate3d, animatecurve, arrow, changecoords, complexplot, complexplot3d, conformal, conformal3d, contourplot, contourplot3d, coordplot, coordplot3d, densityplot, display, dualaxisplot, fieldplot, fieldplot3d, gradplot, gradplot3d, implicitplot, implicitplot3d, inequal, interactive, interactiveparams, intersectplot, listcontplot, listcontplot3d, listdensityplot, listplot, listplot3d, loglogplot, logplot, matrixplot, multiple, odeplot, pareto, plotcompare, pointplot, pointplot3d, polarplot, polygonplot, polygonplot3d, polyhedra_supported, polyhedraplot, rootlocus, semilogplot, setcolors, setoptions, setoptions3d, shadebetween, spacecurve, sparsematrixplot, surfdata, textplot, textplot3d, tubeplot]

(1)

eq5:=C*sqrt(y(x)*((diff(y(x),x))^2+1))-y(x)=0;

C*(y(x)*((diff(y(x), x))^2+1))^(1/2)-y(x) = 0

(2)

C:=1;

1

(3)

bcs:=y(-1)=1, y(1)=1;

y(-1) = 1, y(1) = 1

(4)

dsys:={eq5,bcs};

{(y(x)*((diff(y(x), x))^2+1))^(1/2)-y(x) = 0, y(-1) = 1, y(1) = 1}

(5)

dsol:=dsolve(dsys, numeric); odeplot(dsol,[x,y(x)],0..1,color=red,axes=box);

Error, (in dsolve/numeric/bvp/convertsys) unable to convert to an explicit first-order system

 

Error, (in plots/odeplot) input is not a valid dsolve/numeric solution

 

``


 

Download ode.mw

 

The question explores the family of differential equations dy/dx = sqrt(1+(a*x)+(2*y)) for various values of the parameter a.

This figure shows the tangent field in the case a=1.

sketch a tangent field in the case a=-2.

need the following diagram on maple:

 

hello,

Given f(x)=2x^2-4x, how do I define and plot the functions f(x), 2f(x), 4f(x), -f(x) and -4f(x) in maple 15?

Thank You.

 

How wired icon of motor to icon of sources?thanks

Can anyone solve,

eqn := diff(x(t), t, t)+omega^2*x(t)-epsilon*mu*(diff(x(t), t))+epsilon*alpha*x(t)^2*(diff(x(t), t))+epsilon*Zeta*cos(Omega*t)*x(t)=0;

This equation using MMS (Method of Multiple Scales) in maple.

Pls use Polar transformation function as (1/2)*a(t)*exp(-I*beta(t))

Please reply.

Hi, I try expand in serie this function:

mtaylor(tanh(B*J*sqrt(q)*z+B*Jo*m), [q, m], 9)

 

But this is error.

 

How can i do?

Best Regards

Compare seq(-GAMMA(k+1, x), k = 0 .. -2) and seq(-GAMMA(k+1, x), k = -2 .. 0)

sum(-GAMMA(k+1, x), k = -2 .. 0) = -1/x*Ei(2,x)-Ei(1,x)-exp(-x) may be what you expect

I am trying to see the solution to a PDE that I am coding with initial and boundary conditions. I know with the ODE, it shows the solution, but with the PDE I cannot seem to see it. Any suggestions?

Dear all,

I would like to evaluate a double integral numerically. The integrand is a complicated function of the variables beta and s, with complex values. The computation lasts for decades without obtaining a result.

I was wondering whether there exists subroutines / methods / tricks that could be helpful to accelerate the integration process. I have attached a Maple script of the double integral of interest. Rough precision would be fine (4 or 5 digits).

Any help would be highly appreciated.

Thanks

Federiko

Question.mw

Hi Dears,

I'm have a code like this:

sum(-GAMMA(k+1, x), k = 0 .. -2) and Maple give me : Ei(1, x).

How to check that answer is correct?

 

Thank you in advance.

I am looking forward to hearing from you.

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