The Advanced Part of a Treatise On the Dynamics of a System of Rigid Bodies Be
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In our eReader you can find the full English version of the book. Read The Advanced Part of a Treatise On the Dynamics of a System of Rigid Bodies Be Online - link to read the book on full screen. Our eReader also allows you to upload and read Pdf, Txt, ePub and fb2 books. In the Mini eReder on the page below you can quickly view all pages of the book - Read Book The Advanced Part of a Treatise On the Dynamics of a System of Rigid Bodies Be
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To quickly assess the difficulty of the text, read a short excerpt:
On Repeated Boots. When the root p = mi$ a, repeated root of the equa- tion A Cp)=0, the demonstration just given no longer applies. Since p is arbitrary we may differentiate the equation (1) as often as we please, and after each differen- tiation we may write p = m. Since A (m) = 0, A' (m) = 0, &c. The successive left-hand 20G DETERMINATION OF THE CONSTANTS OF INTEGRATION.
sides reduce to II (m), dU (m)/dm, &o. On the successive right-hand sides we have only terms whioh contain the exponential... e nt .
It follows that if A (p) =0 have a roots each equal to in, the operators UWl dm » "dm a ' . Fa, — 1 * all produce zero when we substitute for x, y, d'c. Any solutions of the differential equations which do not contain the exponential e mt .
Thus it appears that if we calculate the results of these operations by substitut- ing the particular parts of the values of x, y, &c. Which depend on the root m of the equation A (5) = 0, the results will be general, i. E. , will be the same as if we had substituted the complete values of x, y, &c.
What to read after The Advanced Part of a Treatise On the Dynamics of a System of Rigid Bodies Be?
You can find similar books in the "Read Also" column, or choose other free books by Edward John Routh to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
On Repeated Boots. When the root p = mi$ a, repeated root of the equa- tion A Cp)=0, the demonstration just given no longer applies. Since p is arbitrary we may differentiate the equation (1) as often as we please, and after each differen- tiation we may write p = m. Since A (m) = 0, A' (m) = 0, &c. The successive left-hand 20G DETERMINATION OF THE CONSTANTS OF INTEGRATION.
sides reduce to II (m), dU (m)/dm, &o. On the successive right-hand sides we have only terms whioh contain the exponential... e nt .
It follows that if A (p) =0 have a roots each equal to in, the operators UWl dm » "dm a ' . Fa, — 1 * all produce zero when we substitute for x, y, d'c. Any solutions of the differential equations which do not contain the exponential e mt .
Thus it appears that if we calculate the results of these operations by substitut- ing the particular parts of the values of x, y, &c. Which depend on the root m of the equation A (5) = 0, the results will be general, i. E. , will be the same as if we had substituted the complete values of x, y, &c.
What to read after The Advanced Part of a Treatise On the Dynamics of a System of Rigid Bodies Be?
You can find similar books in the "Read Also" column, or choose other free books by Edward John Routh to read onlineMoreLess
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