when using the power series to solve an ODE, is it always necessary to shift the index to 2 and 1 when taking the second and first derivatives of the power series respectively?(adsbygoogle = window.adsbygoogle || []).push({});

i noticed that if i dont shift the index at all and leave them at n=0, it still works out fine?

also, how will i know when to use the frobenius method vs the power series solution?

thirdly, frobenius and power series fall under the catagory of how to use the series solution to solve 2nd order ODEs right?

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# Series solution to 2nd order differential equation

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