Question: (a) Show that the function is a solution of the differential equation f'(x) = f(x) (b) Show that f(x) = e x . 00 f(x)

(a) Show that the function

00 f(x) = n=on!

is a solution of the differential equation

f'(x) = f(x)

(b) Show that f(x) = ex.

00 f(x) = n=on!

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