Solutions of the Cambridge Senate House Problems And Riders for the Year 1878
The book Solutions of the Cambridge Senate House Problems And Riders for the Year 1878 was written by author J W L James Whitbread Lee Glaisher Here you can read free online of Solutions of the Cambridge Senate House Problems And Riders for the Year 1878 book, rate and share your impressions in comments. If you don't know what to write, just answer the question: Why is Solutions of the Cambridge Senate House Problems And Riders for the Year 1878 a good or bad book?
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Viii. Prove that the complete solution of a partial differential equation of the first order containing two independent variables is afforded by the system consisting of a single complete primitive with its accompanying general integrals and singular solution. Find a complete primitive of the equation dz (dz\ (dz~Y \dx) \dy) Present the complete integral of the equation 1 d*u _ d?u 2 du n (n + 1) u ~ ~~ . M the form u n /l d\ n = r - ^- \r drj r To find a complete primitive of the equation Cons...ider x and y as the co-ordinates of a point, and turn the axes round through half a right angle ; that is to say, take By this transformation the equation will become 158 SOLUTIONS OF SENATE-HOUSE [WEDNESDAY, to find a complete primitive of which, put where a is an arbitrary constant ; therefore J2 Z = fj@? - *) ^ + (*/(* + rf) dr, + b, b being another arbitrary constant. These integrals belong to known forms, and may be readily found. To present the complete integral of the equation 1 d*u_d*u Idu n(n+\) .
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