It can be solved by finding the solution to the differential equation y plus
It can be solved by finding the solution to the differential equation y plus y times y prime squared equals k squared, where k is dependent on the lower point. A forerunner of the calculus of variations, correct solutions to this problem were found by Newton, Liebniz, Jakob Bernoulli, and his brother Johann, who posed it in 1696 as a challenge to the mathematicians of his day. For 10 points, name this problem which searches for the curve along which a particle will slide without friction in the minimum time from one given point P to another Q, with Q being lower but not directly beneath P.
It can be solved by finding the solution to the differential equation y plus
the brachistochrone problem