MaplePrimes Questions

Hi,

I have to get the numerical solution of a systems of differential equations, but with the particularity of that one of its equations contain an integral. I mean, something like this:

eq1 := diff(x(t), t) = -z(t); eq2 := diff(y(t), t) = z(t)-(1/2)*x(t); eq3 := y(t) = 3-2*(int((z(t)-z(tau))/sqrt(tau^2-1), tau = 0 .. 1)); bc1 := x(0) = 1; bc2 := x(1) = 0

"bc1"...

Hi,

I need help about this equation.

In geometry (2D), the triangle ABC has centroid is G(1, 1) and orthocenter is H(1,1). How to find the vertices A, B, C with the coordinates of this vertices are integers number?

Why is there a difference between pdetest and algsubs for a PDE?
Shouldn't pdetest work the same as algsubs for the example below?

restart: with(PDEtools):

Eq:=u(x,t)*diff(u(x,t),t)=0:

tmp:=sin(w*(c*t-x))-(1/4)*epsilon*c^2*cos(w*(c*t+x))^2+epsilon*c^3*w*cos(w*(c*t-x))*sin(w*(c*t-x))*t+(1/4)*epsilon*c^2*cos(w*(c*t-x))^2+(1/8)*c^4*epsilon^2*sin(w*c*t+w*x)+(1/8)*c^4*epsilon^2*sin(w*c*t+w*x)+(1/24)*c^4*epsilon^2*sin(3*w*c*t+3*w*x):

sol:=u(x,t)=tmp:

> restart; R := 8.314; printlevel := 2;print(??); # input placeholder> G1[1] := piecewise(`and`(T > 298, T < 700), -7976.15+137.093038*T-24.3671976*T*log(T)-0.1884662e-2*T^2-0.877664e-6*T^3+74092/T, `and`(T >= 700, T < 933), -11276.24+223.048446*T-38.5844296*T*log(T)+0.18531982e-1*T^2-0.5764227e-5*T^3+74092/T, `and`(T >= 933, T < 2900), -11278.361+188.684136*T-31.748192*T*log(T)-0.1230622e29/T^9, 0);print(??); # input placeholder

> G1[2] := piecewise...

Is there any way to detect programmatically that a WARNING has been issued? A method that converts WARNINGs to errors would be acceptable.

Hi all,

restart:
a:=<1,2;3,4>;
whattype(a);
b:=Matrix(2,2,[1,2,3,4]);
whattype(b);
evalb(a=b);

Is there any real difference between these two methods of creathing matrices?

How do I check if two matrices are equal?

Thanks,

Casper

How do I copy Maple input without any modifications?

Here is my problem:Consider the MAPLE input below (Copy Example). Copy and paste results in:

restart; with(VectorCalculus); SpaceCurve(`<,>`(VectorCalculus:-`*`(2, cos(t)), VectorCalculus:-`*`(2, sin(t)), t), t = 0 .. VectorCalculus:-`*`(2, Pi), axes = boxed, thickness = 2, color = black)

which is not the same as the input. I need the unmodified Maple input for a documentation, which is published...

After viewing the table in print preview I realized that the table goes into the second page. I want to reduce the height of the table so that it fits in one page. How is that possible?

By moving the cursor to the edges of the table, I realized that it would allow to me to adjust the width of the table but not the height. The table has about 12 rows. 9 of them fit in one page, but 3 of them go into the next page. I want to shorten the height of the table so that the...

Can you help me, why I get such error,

> restart; with(PDEtools); a := 1; m := 1/64; q := 1+tanh((1/20)*x);

l1 := 2*(diff(ur(x, t), t))+q*(diff(ui(x, t), `$`(x, 2)))+2*a*(ui(x, t)*ur(x, t)*ur(x, t)+(ui(x, t)*ui(x, t))*ui(x, t))+m*ui(x, t)*(diff(ur(x, t)^2, x))+m*ui(x, t)*(diff(ui(x, t)*ui(x, t), x)) = 0;print(`output redirected...`);

 l2 := -2*(diff(ui(x, t), t))+q*(diff(ur(x, t), `$`(x, 2)))+2*a*(ur(x, t)^3+ur(x, t)*ui(x, t)^2)+m*ur(x, t)*(diff(ur(x, t...

what is the maple coding for the function, f(t)=-1-(epsilon)v(t) with the initial condition v(0)=1 for the 10 term?

i had did it but i don't know how to come up with the expansion series in the maple coding

i'm trying to solve this parametric parametequation(a1,a2 & l are parameters and n is my variable): 

a2*(l^(2*n)-1)-2*(a1+n*a2)*(l^n)*log(l)=0

when i try to solve this parametric equation, maple return a RootOf term and when i try to see the values of this RootOf by Allvalues, again return a RootOf, but when i replace the parameters by numbers(like a1=400, a2=25 & l=3.2), maple return a unique n. 

Given points on the surface of cylinder, how to find a point on the axis of the cylinder, axis's vector and radius of the cylinder?

I am attempting to apply some routine tests to determine the convergence of series with positive terms. I have run into a little difficulty with the root test. I am using surd( ) as shown below, but Maple will not give the exact value, which in my example, should be exp(6). Why is this happening and is there a way to get the root test to work?

Thanks!

 

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