du /dx-y=0 solve by power series
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du means duck d men x is solved for power see
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Assume the differential equation has a solution of the form y(x)=∞∑n=0anxn.
Differentiate the power series term by term to get y′(x)=∞∑n=1nanxn−1. ...
Substitute the power series expressions into the differential equation.
Re-index sums as necessary to combine terms and simplify the expression.
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