MathDB
Putnam 1954 A3

Source: Putnam 1954

July 17, 2022
Putnamdifferential equation

Problem Statement

Prove that if the family of integral curves of the differential equation dydx+p(x)y=q(x), \frac{dy}{dx} +p(x) y= q(x), where p(x)q(x)≠0p(x) q(x) \ne 0, is cut by the line x=kx=k the tangents at the points of intersection are concurrent.
Back to ProblemsView on AoPS