X(t) = Xo cos (wt) + (Vo/w) sin(wt)

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SUMMARY

The equation X(t) = Xo cos(wt) + (Vo/w) sin(wt) represents the solution to a second-order linear differential equation commonly encountered in physics. The discussion highlights the necessity of understanding differential equations to manipulate and derive this equation effectively. Participants emphasize the importance of providing sufficient context and background knowledge when seeking assistance with complex equations. The link to MIT's OpenCourseWare serves as a valuable resource for further learning.

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  • Differential equations
  • Understanding of harmonic motion
  • Basic trigonometric functions
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  • Study the principles of second-order linear differential equations
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  • Watch the MIT OpenCourseWare lecture on differential equations
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Students of physics, engineers, and anyone interested in mastering differential equations and their applications in modeling motion.

skiboka33
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having trouble showing that X(t) = Xo cos (wt) + (Vo/w) sin(wt)
been fiddling with equations for a while and can't see it... thanks!
 
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You have not given enough information for anyone to help you. Where are you starting from? What else do you know about this equation? Do you understand differential equations?
 
http://ocw.mit.edu/OcwWeb/Physics/8-01Physics-IFall1999/VideoLectures/detail/Video-Segment-Index-for-L-10.htm
 
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