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    Nonlinear System of Equations Newton-Raphson and SOR Sucessive Over Relaxatiom

    Homework Statement 3X1 - COS(X2*X3) – 0.5 = 0 X1^2 - 81*(X2 + 0.1)^2 + SIN(X3) + 1.06 = 0 EXP(-X1*X2) + 20*X3 + (10pi – 3)/3 = 0 Homework Equations Newton Raphsom and Gauss Sceidal with relaxation term The Attempt at a Solution I've already solved the above system using Newton...
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    2nd Order DE with undamped motion

    This is a sample problem ffrom my book. They just used the equation for the phenomena of beats, but I was trying to see if I could get the same answer by using the general solution in my first post. I think i know what I did wrong, the sin and cos term in the brackets of the equation I posted...
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    2nd Order DE with undamped motion

    I found the complimentary solution to be I think its the particular part of the solution that is confusing me. The notes say this (its also posted in the 2nd image, but image shack is acting up on display it ) u(t) = u_c(t)+u_p(t) where u_c(t) = [A*cos (w_nt)+ B*sin (w_nt)]...
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    2nd Order DE with undamped motion

    I think maybe I am interpreting the sin(wt) and cos(wt) in the brackets of the general solution wrong. They represent the imaginary and real parts respectively.
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    2nd Order DE with undamped motion

    Homework Statement Solve the initial value problem u\prime\prime+u=0.5cos (0.8t)\\ u(0)=0 \ u\prime(0) = 0 Homework Equations u(t) = [A*cos (w_nt)+ B*sin (w_nt)] + \frac{F_0}{m(w^2_n-w^2)} \left\{\begin{array}{cl} sin(wt)\\ cos(wt) \end{array}\right. The Attempt...
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