THE NEW METHOD OF FINDING THE PARTIAL SUM OF POWERS OF NATURAL NUMBERS

The challenge under consideration in this article is rather old. Really in the first half of the eighteenth century D. Bernoulli suggested to seek the specific solution of the oscillation equation of a string with the fixed end points in the form of two product functions, which each depends on either a spatial variable x (the string is drawn ? ? ?????? t . Still there are no direct rationales for the above-mentioned D. Bernoulli hypothesis in educational monographs on the equations of mathematical physics.