I have some difficulties in my little example:

K:=(I_tr*sin(a+b)²-I_trsin(a-b)²)/(I_tr*sin(a+b)²+I_trsin(a-b)²)+2*I_ex

... after few transformations ...

K:=sin(2a)sin(2b)/(sin(a)²cos(b)²+cos(a)²sin(b)²+I_ex/I_tr)

also we have:

r:=I_ex/I_tr

d:=1+2*r

My question is in the title, here is simple example: 

K:=(sin^2(a+b)-sin^2(a-b))

I use formula of abridged multiplication (with help of "factor")

>factor(K)

  (sin(a+b) - sin(a-b))(sin(a+b) + sin(a-b))

Then expand:

>expand(%, trig)

  4sin(a)cos(b)cos(a)sin(b)

And all I whant now is to use double angle formula like this:

4sin(a)cos(b)cos(a)sin(b) = sin(2a)sin(2b)

Hi,I want to compute some expressions as binomial(d-2,r)*binomial(v-d-1,r-1) and something like that. In the process, there are many such expressions but with differernt parameters. Some of them can pass successfully, but some of them will generate a mistake. That is: Error, (in gcd/LinZip) variable in input expression must be in either the evaluate or retained variables.Could you please what happened to it? Thanks.

Hi,

I want to solve a small system of quadratic equations using Maple. There are 4 unknowns and 4 equations.

The solve function has a problem with that kind of a system (I'm sure that this system has a solution).

Is there a method of solving that kind of systems of equations in Maple ?

Thanks in advance.

How to find the exact solution from this equations?

1. (x+epsilon*y)dy/dx + y =0      y(1)=1

2. (x^n + epsilon * y)dy/dx + nx^(n-1) * y = m*x^(m-1)      y(1)=b>1   ; n=2,3,4,...   ; m=0,1,2,3,...

3. u" + u + epsilon*u^3 = 0    u(0)=A  ;   u'(0)=0

4. y" + 2(y')^2 +3y' = -sin x    ; y(0)=1  ;  y'(0)=0

 

Hey (again) everyone. I'm back with a question similar to (but never answered on) this post: http://www.mapleprimes.com/questions/152116-Maple-Doesnt-Recognize-Function-Definition

The problem here is almost identical, except now it won't let me define a procedure. It's very bizarre. Here is my sheet:

Hey everyone. Another question. I am getting a bug I have never gotten before - it's really bizarre. I have a sheet that works perfectly fine. All the functions are defined normally and they work properly. Then, when I get to the bottom of the sheet and try to define

> pathZ(r,theta):=(1- Heaviside(theta-Pi/(12)))*centralR*theta+Heaviside(theta-Pi/(12))*(centralR*Pi)/(12);

I get nothing being defined. I press enter while at that line and then it just goes...

non-linear and non homogen equation second-order..

1.) y"+y^2 = x^4 + 2

with 0<x<1, y(0)=0, y(1)=1

2.) y"+y^2 = -b*y^2 * y'

with y(0)=1, y'(0)=0 and b=0.1 ; 0.3 ; 0.5 ; 0.7

how to solve thats??

 

thanks in advance.

Hi everyone. Long time reader, first time poster.

I have a rather nasty function that I need to use in various calculations (namely, one of them is a numerical integration). But, even evaluating this function at a given point takes exceedingly long (several seconds to tens, maybe even hundreds of seconds!). Is there any way I can make maple do all of the calculations numerically instead of doing all but the last evalf symbolically? I think that may be the problem. Anyway, here is my defined function:

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