Find the functions f, g, u, and v such that:
c(p) = f(x)*g(h+p) + u(x)*v(w+p)
where h and w are defined by the definite integrals (D): h(x) = D[0..x](f(x)dx) w(x) = D[0..x](u(x)dx) and c is a function of p, but a constant in x, i.e: dc/dp != 0 dc/dx = 0
The functions f, g, u, and v each have the following properties: * Continuous, real, and non-infinite. * Non-zero, i.e. always positive or always negative.
* All functions are harmonic with the same period, a, i.e.: f(x) = f(x+n*a), g(x) = g(x+n*a) u(x) = u(x+n*a), v(x) = v(x+n*a) where n is an integer.
The solution may be symbolic or numeric. However if a numerical solution is found, a solution must be provided along with the numerical method that produces it.
where h and w are defined by the definite integrals (D): h(x) = D[0..x](f(x)dx) w(x) = D[0..x](u(x)dx) and c is a function of p, but a constant in x, i.e: dc/dp != 0 dc/dx = 0
The functions f, g, u, and v each have the following properties: * Continuous, real, and non-infinite. * Non-zero, i.e. always positive or always negative.
* All functions are harmonic with the same period, a, i.e.: f(x) = f(x+n*a), g(x) = g(x+n*a) u(x) = u(x+n*a), v(x) = v(x+n*a) where n is an integer.
The solution may be symbolic or numeric. However if a numerical solution is found, a solution must be provided along with the numerical method that produces it.
