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[I split this off as a separate Question, cleaned up the machine-generated Title, added the Tags, and cleaned out some excessive blank lines.---Carl Love as Moderator]

could anyone help me with my euler plot too!

> with(plots):with(DEtools):

Equations & Initial conditions

> de1:=D(x)(t)=a*x(t)-q*x(t)*y(t)-n*x(t)*z(t);

>

I am currently trying to integrate a long string of fractional sine and cos terms with a cos term on the denominator and other exponential multipliers, but all variables and coefficients are real (and I have put this assumption in Maple).

When I integrate them on Maple it is automatically simplifying the result using Euler's rule to give me a complex fraction with a complex numerator and denominator. This is not very helpful as I need to use the result in further calculation,...

I am trying to write out a code to solve for current in a LRC circuit. I have written a code that I think is capable of doing this but keep getting a recursive assignment message in my for loop. I have looked it over about a hundred times and can't see where I have defined a variable in terms of itself. Any help on this would be greatly appreciated. A copy of my code so far is listed below.

> with(plots);
> u := proc (t, Q, dQdt) options operator, arrow; 0.15e-2*cos(omega*t...

How do I look for a 9 digit pi-sequence within decimal places of the EULER e  and find the position of that string.

2,71828182..............314159265..........

      123.....................x

can someone show me screen shot how to do this??

thanks so much

Horst

Hello!

I'm currently trying to program Euler's Nummerical Method to solve a second order differential equation, that I've split into two parts: 

f1:=v:

f2:=-(0.006549/0.7038)*v-sin(x/1.03)*9.82

In an attempt to solve this equation by using Euler's in Maple, I typed in the following commands: 

EulerSystem:=proc (f1,f2,t0,x0,v0,h,n) local t,x,v,i,p;
t[0]:=0; x[0]:=x0; v[0]:=v0;

Hi

So the question is to find complex number W from :

.

but I want the answer in polar form using e (Euler's number).

The question is specific to ask for the complex number W that lying in the first quadrant and having the largest possible real part. I calculated and got :

I am trying to model a multibody system using euler lagrange equation. There are 3 links in the system attached with each other by revolute joints. The first link has one end fixed with the revolute joint.

Length of links= l1,l2,l3

Angle with x axis=Theta1,Theta2,Theta3

Mass of links=m1,m2,m3

Moment of Inertia = M1,M2,M3

I am not able to find the solution of ODE system comprising of 3 ODEs which I get after solving Euler Lagrange Eq for...

I'm using the commands:

RungeKutta(d/dt(y(t))=-y(t),y(0)=1,t=1,submethod=rk4,output=plot,numsteps=10);

Euler(d/dt(y(t))=-y(t),y(0)=1,t=1,output=plot,numsteps=10);

Each of these commands yields its own serperate graph.  How can I plot both on graph to see how the approximations vary?

Thanks!

How do you enter h in a Euler's method problem? I need to change h=0.1 to h=0.05

I'm using the 2D input in Maple 14.

So far I have this:

> DE2 := diff(y(t), t) = 3+t-y(t);

> Euler(DE2, y(0) = 1, t = .4);

> Euler(DE2, y(0) = 1, t = .4, output = Error);

> Euler(DE2, y(0) = 1, t = .4, output = information);

EulerSystem:=proc(f,g,n,h,tinit,xinit,yinit,t,s,y);
local i;
t[0]:=tinit;x[0]:=xinit; y[0]:=yinit; 
for i from 1 to n do 
t[i]:= evalf(tinit+h);
x[i]:= evalf(xinit+h*f(tinit,xinit,yinit));
y[i]:=evalf(yinit+h*g(tinit,xinit,yinit));  od;  end;

When i tried to execute maple dispayed "unable to parse" but i can't find out where the syntax error is.  "local" was the word with the red dotted line box around...

What is the following equation about?

(a+b^n)/n = x

It has too many unknowns.  There seem to be too many trivial solutions: a=b=n=1, x=2 or a=1, b=2, n=3, x=3 or a=2, b=2, n=2, x=3 and on and on.  Why would anyone think that this has anything to do with the existance of God?

The following is from en.wikipedia.org/wiki/Leonhard_Euler

There is a famous anecdote inspired by Euler's...