Get solution: In each of 12 through 23, find all singular points of the given equation

Chapter 5, Problem 15

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QUESTION:

In each of 12 through 23, find all singular points of the given equation and determine whether each one is regular or irregular. x2(1 x2) y__ + _2 x _y_ + 4y = 0

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QUESTION:

In each of 12 through 23, find all singular points of the given equation and determine whether each one is regular or irregular. x2(1 x2) y__ + _2 x _y_ + 4y = 0

ANSWER:

Step 1 of 4

       Singular point are the value of x that make P(x) equal zeros

                   

                   The singularities points are

                     

                 

To know whether a singular point is regular or irregular, calculate the limits below,

               If both limits are finite, then the singular point is regular, otherwise, it is irregular

                    and

                     

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