The book Lessons On Rigid Dynamics was written by author George Pirie Here you can read free online of Lessons On Rigid Dynamics book, rate and share your impressions in comments. If you don't know what to write, just answer the question: Why is Lessons On Rigid Dynamics a good or bad book?
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Then the solution is x^^Ae'^'^^ + Be'''^*. : If the roots of the quadratic are impossible, and of the form a±l3j-l, the solution is x = e^ {A cos ^i-\-B sin ^t) . For the particular value that must be added when cfif) is not zero, we must in general depend on happy thoughts. The rules are. Too long to be given here for all the cases. The following are important : Solution. W=Ae"'^Be-'". Solution. X^A(io^{nt^B) or A^mni^ Bo^o^rd, (7) "^j^ + '^^ ~ ^ ^^^ ^® expressed i(«-a-''(-5)-°- C^) -^ + w^^ =... a sin mi. 174 DIFFERENTIAL EQUATIONS. The solution of at And it is clear that a; =^ sin 7nt will make -7, 5, + n^x = a sin mf, at if p have the right value. To determine p, differentiate J) sin mt twice and substitute. Then ~ pm^ + 7i^p = a ; whence « = -^ :, , and the complete solution is ^ n — m X = . 4e"' + Be-""' + ^-^72 sin mt The equation (/3) indicates a motion of oscillation whose central point is the origin, and whose period is — -; (7) indi- n cates a similar motion with the central point at a distance a ti from the origin.
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