Differential Equations

a) Given the differential equation: $\frac{du}{dx} + u = 3$ , what is the general solution?

b) Given another differential equation $\frac{d^{2}y }{dx^{2} } + \frac{dy}{dx} - 6y = 0$ , what is the general solution? Hint: try writing $y(x) = e^{rx} $