Recent content by Ben M

Perhaps counter-intuitively, analytic functions of a complex variable have a well-defined "behaviour at infinity" which is just the limit as z tends to zero of f(1/z). This is unique provided that the function universally satisfies the C-R relations.

Sorry it's a + x

Also the particular integral is u(x) = a - 3x. You don't get two arbitrary constants from a first order ODE

Both methods solve the equation in about 2 lines, but yeah you can do complimentary function and particular integral if you prefer.

The equation is most easily solved at this stage: \frac{du}{dx} - 3u = -3x The integrating factor is just e^{-3x}. Solve from there.