Could someone explain to me why this f[+*/]ing program doesn't simplify a simple equation like this:

simplify(F*R=(1/2*M*R^2)*(a/R),symbolic,assume= positive)

It returns F*R=(M*R*a)/2 which obviously is wrong. (The correct output would be F=1/2*M*a)

How do I fix this, all the other posts I read use either symbolic or assume positive. 

Hey. I can't seem to implement the following recursive (piecewise) function:

f:=n->piecewise(n=0,1,n>=1,sum(f(k),k=0..n-1))

This doesn't work..How do I make it work? :( 

Hey!

I have the following Diff. EQ. which I wish to solve:

EQ:=(3*x)*(diff(y(t),t,t)+y(t)=0

Where y(t) = sum(c[n]*x^n,n=0..infinity)

The result should be the following c[n+1] = -c[n]/(3*(n+1))

How would I solve this in Maple? Is there any package which can do this? Thank you! 

Hello!

When I use simplify((t-1)/(-1+2*t)) it returns the same thing I entered, how come Maple doesn't return the actual simplified version that is (1/2)-(1/(2*(2*t-1))), even when using expand, it doesn't return anything really that good.

Do anyone know a good idea to get the desired result via Maple? Thank you. 

Hey. I have the following Diff. Equation:

diffeq := diff(y(t),t,t,t,t)+10*diff(y(t),t,t)+169*y(t)=0

and I have the conditions y(0) = 0, y'(0) = 1, and y(t) -> 0 for t -> infinity 

I know how to do with the first two conditions, but how do you do it with a boundary? I've read the posts made earlier on here, but I can't seem to figure it out. I've tried:

dsolve({diffeq,y(0)=0,D(y)(0)=1,D(y)(infinity)=0},y(t))
 

Returns nothing.

Any help would be appreciated.