I don’t have a specific problem to solve, and I’m not sure I would be able to correctly find one, but I need to know how to solve a harmonic Oscilator problem with Friction. I believe I should be starting with F = -kx -Ff, and that I will be given some information about the frictional force. I’m guessing the frictional force will just be constant. If that’s the case I believe the force could just be written as F = -kx - b, where b is some constant? Can anybody confirm that this is correct and help me solve the differential equation
F = -kx - b
The Attempt at a Solution
mx’’= -kx - b
This is where I have to solve the differential equation that I’m unsure how to solve. I’m not quite sure where to start, but I believe it might have something to do with guessing a solution.