E287 -- De motu vibratorio cordarum inaequaliter crassarum

(On the vibrating motion of unevenly thick strings)

(based on C. Truesdell's An idiot's fugitive essays on science: methods, criticisms, training, circumstances)
Euler presents his explicit solution of the initial value problem for a string made up of two uniform parts of different densities. Since the differential condition of continuous slope at the junction is not always satisfied, he replaces it by an integral condition that has the differential condition as a special case.

According to C. G. J. Jacobi, a treatise with this title was read to the Berlin Academy on February 21, 1760.

According to the records, it was presented to the St. Petersburg Academy on December 1, 1760.

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