: Find the general solution of Chebyshev`s equation for n= 0.
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What is the value of Chebyshev polynomial of degree 0?
T0(x)=cos(0)=1.
EK:-
Then the general solution of the original Chebyshev equation will be given by the formula: y(x)=Ccos(narcos). In this expression, n may be any real number. But if n is an integer, the given function is the Chebyshev polynomial of the first kind.
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