See solution: In each of 1 through 8, determine the general solution of the given

Chapter 5, Problem 1

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QUESTION:

In each of 1 through 8, determine the general solution of the given differential equation that is valid in any interval not including the singular point. x2 y__ + 4xy_ + 2y = 0

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QUESTION:

In each of 1 through 8, determine the general solution of the given differential equation that is valid in any interval not including the singular point. x2 y__ + 4xy_ + 2y = 0

ANSWER:

Step 1 of 3

       Assume that the equation has the solution in the form of

                    Since  is the only singular point for the  given differential equation.

         

The first and second order derivatives are

   

                   

                   

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