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(Solved): Part III. Show the following. W(f(x),xf(x))=0 if f(x)=0. W(sinx,cosx)=0 ...

$Part III. Show the following. \( W(f(x), x f(x)) \neq 0 \) if \( f(x) \neq 0 \). \( W(\sin x, \cos x) \neq 0 \)$

Part III. Show the following.

W (f (x), x f (x)) ? = 0

if

f (x) ? = 0

.

W (sin x, cos x) ? = 0

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First recall that the Wronskian of two functions f(x) and g(x)is obtained asW(f,g)=|fgf?g?|

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