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Problem

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Textbook Expert
Textbook ExpertVerified Tutor
20 Dec 2021

Given information

Given, the differential equation and the equation  .

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   must be equal, we have that
 Which gives us   also. 

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