Trying to solve this IVP of the SHO  (second order linear costant-coefficient).

Everything works fine until I come to the solving even after using dsolve with initial conditions (even using the differential operator D in the initial conditions)  , the answer still contains _C1, an unknown constant.

The full worksheet is below.  The code for dsolve is:

sol3 := dsolve(subs(par1, {de1, D(x)*0 = 0, x(0) = 1}), x(t));

Hoping you can help with a solution.

Please how do I type accents in code edit region of maple 2015.1 (for instance putting "Hat over" on alpha)?

Thank you.

hello every one.please help me with solving this equations.i can not solve this and i need it.thanks

eq1 := (cos(beta2)-1)*w11-sin(beta2)*w12+(cos(alpha2)-1)*z11-sin(alpha2)*z12-cos(delta2) = 0; eq2 := (cos(beta2)-1)*w12+sin(beta2)*w11+(cos(alpha2)-1)*z12+sin(alpha2)*z11-2*sin(delta2) = 0; eq3 := (cos(beta3)-1)*w11-sin(beta3)*w12+(cos(alpha3)-1)*z11-sin(alpha3)*z12-3*cos(delta3) = 0; eq4 := (cos(beta3)-1)*w12+sin(beta3)*w11+(cos(alpha3)-1)*z12+sin(alpha3)*z11-4*sin(delta3) = 0; eq5 := (cos(beta4)-1)*w11-sin(beta4)*w12+(cos(alpha4)-1)*z11-sin(alpha4)*z12-5*cos(delta4) = 0; eq6 := (cos(beta4)-1)*w12+sin(beta4)*w11+(cos(alpha4)-1)*z12+sin(alpha4)*z11-6*sin(delta4) = 0; eq7 := (cos(beta5)-1)*w11-sin(beta5)*w12+(cos(alpha5)-1)*z11-sin(alpha5)*z12-7*cos(delta5) = 0; eq8 := (cos(beta5)-1)*w12+sin(beta5)*w11+(cos(alpha5)-1)*z12+sin(alpha5)*z11-8*sin(delta5) = 0; alpha2 := -20; alpha3 := -45; alpha4 := -75; alpha5 := -90; delta2 := 15.5; delta3 := -15.9829; delta4 := -13.6018; delta5 := -16.7388; P21 = .5217; P31 = 1.3421; P41 = 2.3116; P51 = 3.1780;

As a new user of Maple (Maple 2015), I defined the function:

f:=x->(1+1/x)^x

As x->infinity, f(x) increases monotonically to e, as is known.

In financial applications, this function and related functions are often used to show that periodic compounding converges to continuous compounding as the number of compounding periods grows larger.

However, for certain large values of x, f(x) evaluates to functional values larger than e.  For example:

f(x)|x=31536000. evaluates to 2.74327....

which is greater than e=2.71828...

Also notice that is(f(31536000.)>e) returns true.

This incorrect evaluation makes it difficult to demonstrate to students the principles of and relationship between periodic compounding and continuous compounding.

Some other CAS (Mathematica and HP Prime) evaluate the function correctly while TI Nspire also evaluates the function incorrectly.

The following file demonstrates this behavior of Maple 2015:

20160705_example_of_function_evaluation_issue.mw

Can anyone share any insight to this issue or any errors that I am making.

Hello Mapleprime users

I am having an issue with a numerical integration calculation. I have a large(ish) polynomial integrand and need to apply two integrations which I am using the _cuhre method for. See attached the minimum working example file.

Numerical_integration_HF.mw

Firstly some simplifications are done to the integrand and then a basic for loop which calculates the integration for r from 0 to 20 in steps of 0.1. The issue occurs when the loop hits r~2.5 (on my machine, Maple 2015, i5, 16GB ram). Up to that point the calculation is steady with the following stats per point calculated:

memory used=87.59MiB, alloc change=0 bytes, cpu time=3.45s, real time=3.15s, gc time=439.16ms

Then when the calculation gets to ~2.5 it just hangs and will not calculate past it. Any ideas as to what is going on here?

Any help would be appreciated with this issue.

Thank you in advance

Yeti

Sometimes my code works and sometimes I have this kind of error: 

I am using one argument for cosine and the following operations:

Thanks !

n := 5:
z1 := exp(2*3.14*I*k1/n)*cosh(z)^(2/n);
z2 := exp(2*3.14*I*k2/n)*sinh(z)^(2/n);
xx := Re(z1);
yy := Re(z2);
uu := cos(alpha)*Im(z1) + sin(alpha)*Im(z2);

use above example of calabi yau equation, do not know which variables z, k1, k2 are u and v, then i assume k1 and k2 are u and v respectively,

E := diff(xx,k1).diff(xx,k1);
F := diff(xx,k1).diff(xx,k2);
G := diff(xx,k2).diff(xx,k2);

then calculate metric
diff(E, k2);
F
diff(G, k1);

which function can input these metric diff(E,k2), F, diff(G,k1) to prove calabi yau equation's metric's ricci is flat

hi.please help me for gain result with out root of form....

thanks

root_of.mw

Download root_of.mw

hi .i have a problem with dsolve this equation.please help me for removing error

"initial Newton iteration is not converging"

thanks..

SGT-FDM.mw

Download SGT-FDM.mw

hi.how i can draw a graph (s(x))(1) versus sigma?

thanksomega=30.mw

Download omega=30.mw

HI.please help me for solve differenrtial equation with finite difference method not dsolve numeric solver in maple

thanks

FDM2.mw

Download FDM2.mw

hi

i have a problem with convert mathematica code in to maple one

i attached maple file .some line have error.please help me for remove error

thanks

fdm.mw

fdm.pdf

hello.

i have two problem in maple file, that is attached..

one of them is RootOf...note that i suppose that [varepsilon := -2.3650203724313] for i can going on following calculation

and second is  Float(undefined) in calculation integral

please help me

thanks

(m=1_n=6)2.mw

Hi,

I have attached a Maple file. My problem is that the solve for the simultaneous equation does not give me understandable results. I even simplified my equations by saying some parameters are zero although my final goal is to find an expression for a and varphi. Any idea how to solve this analytically? I know how to do it numerically. I need an analytical expression.

Thanks,

Baharm31

curve =2{t (3 t^4+50 t^2-33),7 t^6-60 t^4+15 t^2+2}/(t^2+1)^3;
implicit =GroebnerBasis[Thread[{x, y}== curve],{x, y}, t]//First550731776-41620992 x^2+585816 x^4+625 x^6-182250 x^4 y -41620992 y^2+1171632 x^2 y^2+1875 x^4 y^2+364500 x^2 y^3+585816 y^4+1875 x^2 y^4-36450 y^5+625 y^6


http://mathematica.stackexchange.com/questions/87136/how-to-convert-a-rational-parametric-plane-curve-into-implicit-form