The complex exponential - MIT OpenCourseWare
6. The complex exponential The exponential function is a basic building block for solutions of ODEs. Complex numbers expand the scope of the exponential function, and bring trigonometric functions under its sway. 6.1. Exponential solutions. The function et is defined to be the so lution of the initial value problem x˙ = x, x(0) = 1.
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