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diff eq the Eistence and Uni -xy+ 2x)
please help in any of these in diff eq in Trigonometric Fourier Sine Series and Trigonometric Cosine Series Homework Problems for Handout Sheet 25 In Problems 1 to 4, determine the Fourier Sine Series that converges to the given function at each of its points of continuity 0 when 0x<1/2 1. f(x)=when 1/2<x<1' flx+2)= f(x). 0 when 4<x<-2 2. f(x)={2 when 0<x<1 , f(x+8)= f(x). 1 when 1<x<2 3. f(x) 2-x when 0<x<27, f(x+47)=f(x) 4. f(x) 7-x when 0<x<47, f(x+87)=...
For this non-homogeneous diff eq. what is the form of the particular solution that you would guess in the method of undetermined coefficients. y" + 2y' + 2y = 4tet + 3te-t cos(t)
Diff eq problem. Any help on how to tackle this problem would be greatly appreciated! Not sure where I should even start. Determine the first order differential equation given the graphical response shown below. Assume the input is a step function 4 t (s)
I am taking a diff eq course next semester and have been trying to prepare for it. However, I think i misunderstand something because from the videos and stuff I've seen so far, I don't see a difference between solving a differential equation and finding it's integral. Sorry if this is a stupid question!
Need help with diff eq Determine the general solution of the given differential equation (Show your work) 2x2y" – 4xy' +10y = 0 a) y = (x3 + c2x-1 b) y = (C1 + czln|x1)x3 c) y= claſicos ($71 In[xl) + cz|xpă sin ("ZI Inļxl) d) y = cz|x|3 cos ("7 In[xl) + cz|xl sin (977 1n\xl) e) y = cz\x{* cos(v11 In[xl) + czlxpă sin(V11 In[xl)
Diff Eq Find the general solution of the given higher-order differential equation. y" - 6y" - 7y' = 0