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

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Advance Math

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 therecurrence relation

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

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