Trigonometric Derivative, Solving f'(x)=2f(x)

SpaceTsunami

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I've solved a, and got f'(x)=-2csc^2(x)cot(x), but now I'm confused as how to solve b.
 

Subhotosh Khan

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I've solved a, and got f'(x)=-2csc^2(x)cot(x), but now I'm confused as how to solve b.
1590195936870.png


Please share your detailed work for part (a)

hint for part (b):

if F(y) =e^(n*y)

\(\displaystyle \frac{dF(y)}{dy} = ?\)................. Parts (a) & (b) of the question are not
related.

I probably interpreted the problem [part (b)] incorrectly. See response #3 below.
 
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