Suppose that (x) satisfies the following equation (an example of a differential equation): (a) Show that (x)
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Suppose that ƒ(x) satisfies the following equation (an example of a differential equation):
(a) Show that ƒ(x)2 + ƒ'(x)2 = ƒ(0)2 + ƒ'(0)2 for all x. Show that the function on the left has zero derivative.
(b) Verify that sin x and cos x satisfy Eq. (1), and deduce that sin2 x + cos2 x = 1.
Eq.(1)
Transcribed Image Text:
f"(x) = -f(x)
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