Recent content by koolrizi

Forgot to mention the question. question was to use Fourier series and x=0 to prove it. so i cannot use x= pi/2 can i?

If i use x=pi/2 in Fourier series cos nx vanishes and i have 1/n^2 which for odd numbers is 1/(2n-1)^2 I can get that. how would i prove the part series converges to pi^2/8 Thanks

f(x)= |x| over (-pi,pi] -x over -pi<x<= 0 and x over 0<x<=pi

Hey everyone, I got the following Fourier series F.S f(x)= (pi/2) - (4/pi) \sumn=1,3.. to infinity (1/n^2 cos (nx)) l= pi After deriving it the question now is how can i use it to show \sum n=1 to infinity (1/(2n-1)^2= 1+ 1/3^2 + 1/5^2 +... = pi^2/8 I think I am not sure what...

Oh! I didnt see that one. Silly Silly mistake. Thanks dhris

i am sorry i didnt get you there. I know cos 0 is 1 but I am using sin at the very end which is zero if sin 2*k*pi

Hi everyone, I know I am missing something simple from this integration. integrate from l to -l \intcos ((k*pi*x)/l) * cos ((k*pi*x)/l)dx I use the identity cos u cos v = 1/2 [cos(u-v) + cos(u+v)] which gives me the following to integrate from l to -l 1/2[cos (2k*pi*x)/l]dx...

Got it Thanks I got that part. I didnt realize that v1=-0.677v2 for both equations. I am actually taking a different course which uses linear algebra but its been a while since i studied it. Now I have to diagonalize the matrix and also sketch the unit standard deviation contour. If you know...

I am trying to find eigen values and eigen vectors for A Its 2X2 matrix. A first row (16 -10) second row (-10 24) I got Eigen values as 30.77 and 9.22 but when i try to find eigen vectors here are the equations I end up with -14.77v1 - 10v2= 0 -10v1 - 6.77v2 = 0 Kinda confused how to...

Thanks HallsofIvy

How would you express one function as Linear combination of other? For example the following sets {1,x+2,3x-5} {e^x,e^(2x),xe^x,(7x-2)e^x} How would i go about solving this? Should I start with equating one function to the other two in first example? like x+2=1+(3x-5) ? Thanks

I got it now. Thanks. I was confused about the independent and dependent variables.

what about sin(x)y=1? or sin(x)y'=1 Thanks

oh ok got it. I appreciate it cyclovenom...i am sure i will be asking you a lot more in future...lol..thanks again

i am confused about x y' = 1 is non-linear because y' is not multiplied by a constant (http://www.myphysicslab.com/classify_diff_eq.html) x^(2)y' term is in last equation which is linear but xy'=1 is non linear Can you help me figure this out?