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Problem

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Textbook Expert
Textbook ExpertVerified Tutor
27 Dec 2021

Given information

Given function is 

Step-by-step explanation

Step 1.
Given the general form for  , we know that its derivatives must be:
 
Plugging these into the given equation, we have that
 
Re-arranging the terms on the right hand side, this implies that
 
Since the coefficients on   must be equal on both sides, we have  . Meaning that  
Also, since the coefficients on $x$ must be equal, we have that
 
Which gives us   also.
Finally, since the constant terms on both sides of the equation must be equal, we have that
 
Therefore, , meaning that  
Hence, we can conclude that  

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