How to change this general form to solve :

How to calculate with Maple Fourier coefficients on some numerical valued functions and how to calculate and plot the 3 partial sums :

 

Function B : on the interval [-phi, phi]

f(x)= NUMERICAL (x – phi/2) + NUMERICAL (x+phi/2)

 

Function C : on the interval [-phi, phi]

f(x) =  NUMERICAL (x+phi/2)

I enclose Maple general solution to the PDF heat equation in 1 dimention.

 

I need corrections of it to enable me to calculate the heat equation in certain conditions :

 du(x,t)/dt - d^2/x,t)/dx^2 = ;   t>0, x belongs to interval [0,phi[

with boundary conditions :

u(x,0) = sin(x)cos^2(x) ; x belongs to interval [0, phi)

u(0,t) = 0

u(phi,t) = 0  ;  t is still t>0

On 4th May I submitted Ploting 10 functions to plot mentioning codes with with Mapple.

 

I got some answers and have managed some additional ones.

 

Please help with items B, C and D

 

BR and thanks

mathstudentdk

What Mapple code for ploting these ten functions ?

Plot these functions. I need urgwent help with these functions :

A=\sum_{n=[1,infinity]}(3n^{2}+7n+1)^{-n}

B=\sum_{n=[1,infinity]}(-1)^{n}(3n^{2}+7n-1)/(3n^{5}+4n+1)

C=\sum_{n=[1,infinity]}(-1)^{n}(n^{2}+n-1)/(3n^{2}+n)

D=\sum_{n=[1,infinity]}sin((phi/2n)+n(phi))

IF n is uneven E=\sum_{n=[1,infinity]}a=(2/n)

IF n is nevenF=\sum_{n=[1,infinity]}a=(-1/n)

G=\sum_{n=[1,infinity]}(n^{-4)}

H=\sum_{n=[1,100]}(1/3)n^{-3}+\sum_{n=[1,100]}n^{-4}

1. For n = 5 plot I=\int e^{\frac{1}{(1+exp((n(2-x))}}