Make the substitution v D ln x of to find general

Chapter , Problem 52

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QUESTION:

Make the substitution v D ln x of to find general solutions (for x>0) of the Euler equations in 5256.x2y00 C xy0 y D 0

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QUESTION:

Make the substitution v D ln x of to find general solutions (for x>0) of the Euler equations in 5256.x2y00 C xy0 y D 0

ANSWER:

Step 1 of 4

The given differential equation:

                                                         

Now

                                                                                 

 Compute the  by using the chai rule.

                                                                                 

Multiply and divide the above expression with  

                                                                                 

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