E40 -- De minimis oscillationibus corporum tam rigidorum quam flexibilium. Methodus nova et facilis.

(On the smallest oscillations of rigid and flexible bodies. A new and easy method.)

(based on C. Truesdell's An idiot's fugitive essays on science: methods, criticisms, training, circumstances)
This is Euler's first paper on vibrating bars. He integrates the equation k4y''' = y using power series.

It may have been presented to the St. Petersburg Academy on October 27, 1735.

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