given the ODE y”-xy’+2y=0, show that x=0 is an ordinary point, and find an interval on which any given series solution w

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answerhappygod
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given the ODE y”-xy’+2y=0, show that x=0 is an ordinary point, and find an interval on which any given series solution w

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given the ODE y”-xy’+2y=0, show that x=0 is an ordinary point, and find an interval on which any given series solution would converge. Be sure to justify your conclusion. Find 2 linearly independent solutions y_1(x) where y_(0)=1 and y’_1(0)=0 and y_2(x) where y_2(0)=0 and y’_2(0)=1.
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