- #1
etotheipi
I want to find the particular solution to the differential equation$$g(L-x) \frac{\partial^2 y}{\partial x^2} = \frac{\partial^2 y}{\partial t^2}$$with the boundary condition ##y(0) = 0## for all ##t##. If the coefficient of ##\frac{\partial^2 y}{\partial x^2}## were constant then it could be solved with ##y=A\sin{(kx -\omega t)}##, but how could I go about solving it in this case? Thanks