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  3. for the following ode 4. xy'' +y' -xy = 0; x0 = 0

For the following ODE 4. xy'' +y' -xy = 0; x0 = 0 a) What are the...

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Advance Math

For the following ODE

4. xy'' +y' -xy = 0; x0 = 0

a) What are the points of singularity for the problem?

b) Does this ODE hold a general power series solution at thespecific x0? Justify your answer,

i) if your answer is yes, the proceed as follows: Compute theradius of analyticity and report the corresponding interval, andIdentify the recursion formula for the power series coefficientaround x0, and write the corresponding solution with at least fournon-zero terms explicitly written

ii) If your answer is no, then please elaborate why there is nota general power series solution, and proceed to solve it using theFrobenius method

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