The complex exponential - MIT OpenCourseWare
lution of the initial value problem x˙ = x, x(0) = 1. More generally, the chain rule implies the Exponential Principle: For any constant w, ewt is the solution of x˙ = wx, x(0) = 1. Now look at a more general constant coefficient homogeneous linear ODE, such as the second order equation (1) x¨+ cx˙ + kx = 0.
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