For the Hermite's differential
equation y" - 2xy' + 22y = 0
the point x=0 is
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x is defined as polynomial solution of hermite equation with d=2n for which the coefficient is 2n
Step-by-step explanation:
The hermite equation . the equation y"-2xy+dy=0 -<x<0 where) is a constant,is known as hermite equation.
1.this terms in each of two solutions about x=0 and show that they form a fundamental set of solution.
2. it is a non negative even integer
3.one or more of the series solution terminates and becomes a polynomial.
4.each polynomial is determined only up to a multiplicative constant.
x is defined as polynomial solution of hermite equation with d=2n for which the coefficient is 2n
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