A Treatise On Differential Equations 2
A Treatise On Differential Equations 2
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In our eReader you can find the full English version of the book. Read A Treatise On Differential Equations 2 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 A Treatise On Differential Equations 2
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y' -fix). The result which is obtained by mere substi- tution is .-f-/{-'-V^}-- w.
a differential equation of the second order, the solution of which will determine in the fullest manner the possible rela- tions between x and y which are consistent with the conditions of the problem.
Were this equation given and nothing known respecting its origin, we might at once infer that it is of a class analogous to those of Chap. vii. Art. 9. For writing y+| = i, «'+^^=« (28), we find that each of these ...leads by differentiation to the same differential equation of the third order. For the first gives while the second gives 3 3 . {1-P^pr _r.
2""2^ 2j= ^' and these lead to the same value of the differential coefficient of the third order r, viz.
V ^=^» P this consiitating the essential critetion of agreement between ^flfeiential equations of the third order.
Digitized by VjOOQ iC ART. 10.] IN GEOMETET AND OPTICS. . 261 Accordingly, eliminating y from (28) and afterwards making.
h =f{a) by virtue of (27), we find or y-/(«) = l^.
What to read after A Treatise On Differential Equations 2?
You can find similar books in the "Read Also" column, or choose other free books by Boole, George, 1815-1864 to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
y' -fix). The result which is obtained by mere substi- tution is .-f-/{-'-V^}-- w.
a differential equation of the second order, the solution of which will determine in the fullest manner the possible rela- tions between x and y which are consistent with the conditions of the problem.
Were this equation given and nothing known respecting its origin, we might at once infer that it is of a class analogous to those of Chap. vii. Art. 9. For writing y+| = i, «'+^^=« (28), we find that each of these ...leads by differentiation to the same differential equation of the third order. For the first gives while the second gives 3 3 . {1-P^pr _r.
2""2^ 2j= ^' and these lead to the same value of the differential coefficient of the third order r, viz.
V ^=^» P this consiitating the essential critetion of agreement between ^flfeiential equations of the third order.
Digitized by VjOOQ iC ART. 10.] IN GEOMETET AND OPTICS. . 261 Accordingly, eliminating y from (28) and afterwards making.
h =f{a) by virtue of (27), we find or y-/(«) = l^.
What to read after A Treatise On Differential Equations 2?
You can find similar books in the "Read Also" column, or choose other free books by Boole, George, 1815-1864 to read onlineMoreLess
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