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In: Advanced Math

Consider the the differential equation 2xy''+ 5y'+xy= 0 1) determine the indicial equation and its roots...

Consider the the differential equation

2xy''+ 5y'+xy= 0

1) determine the indicial equation and its roots

2) For each root of the indicial equation, determine the recurrence relation

3) Do the indicial roots differ by an integer? If yes, find the general solution on (0,∞). If not, find the series solution corresponding to the larger root on (0,∞)

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