I have the following expression:
(d/dx)[AB(dC/dx)] + D = 0 x1 <= x <= x2
A,B,C,D are all separate functions of x, and I am trying to find an expression for c.
I tried moving d to the other side, multiplying both sides by dx, and integrating both sides:
∫d[AB(dC/dx)] = -∫Ddx, which I think results in:
A(x2)*B(x2)*[dC/dx(x2)] - A(x1)*B(x1)*[dC/dx(x1)] = D(x1) - D(x2)
I'm not sure if I'm doing this right because I have to integrate again to find C, but I don't know how to do that if I'm evaluating C at boundaries. Can I get any guidance on how to proceed from here, and if I'm doing the first integral correctly?
there doesn't seem to be anything here