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Lonely

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17 years, 116 days
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These are questions asked by Lonely

how to solve this fourth degree equation...

Lonely 400 Maple
March 08 2011
2 2

how to solve

-x^8*a^4+48*z^4+48*x^7*a+8*z*x^6*a-1 = 0


for a

i tried

 

solve(-x^8*a^4+48*z^4+48*x^7*a+8*z*x^6*a-1 = 0, a)

 

and got

 

what is the solution of this recurrence ...

Lonely 400 Maple
recurrence
March 06 2011
3 3

 

How to solve this receurrence relation with maple

 

a[k] := (2/5)*a[k-1]*ln((1/10)*(exp(1)*x/a[k-1])^10)/ln(10^a[k-1]*(exp(1))^4)

 

I found various methods, as listen here http://en.wikipedia.org/wiki/Recurrence_relation, to solve recurrsion relation. For example, methods of undertermined coefficients

 

But how to use these to solve the the above recursive relation.

how to program this with maple...

Lonely 400 Maple
recurrence
March 04 2011
0 0

 

 

let us consider the series

 

y = a_0 - sum(a_i,i=1..n)

 

here the terms a_i are defined recurrsively as follows

 

a_i = (a_(i-1) -4*ln(x)/ln(10) + 4/10 + 4*ln(a_(i-1)) )/ ( 1+ 4/(a_(i-1) * ln(10)))

 

a[n] := (a[n-1]-4*ln(x)/ln(10)+4*(1/10)+4*ln(a[n-1]))/(1+4/(a[n-1]*ln(10)))

 

how can i program this in maple. so i can...

how can this series be written as a cont...

Lonely 400 Maple
fraction
March 04 2011
0 0

 

what is the general sum formula for the following seires (we may notice from these few terms it has a pattern)

 

which rational number satisfy this equat...

Lonely 400 Maple
solve rational
March 04 2011
1 0

y-15.6+4*ln(y)/ln(10)=0

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