Final answer:
The general form of a second-order homogeneous linear differential equation with constant coefficients is y'' + ay' + by = 0.
Step-by-step explanation:
A second-order homogeneous linear differential equation with constant coefficients has the general form:
y'' + ay' + by = 0
Where y'' represents the second derivative of the function y(x) with respect to x, a and b are constant coefficients. This equation represents a second-order polynomial equation with the highest power of the variable being 2, and it is homogeneous because all the terms are multiplied by the function y(x).