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Y=A[x+√x^2-1]^n+B[x-√x^2-1]^n Prove that (X^2-1)y2+xy1=n^2y

Y=A[x+√x^2-1]^n+B[x-√x^2-1]^n
Prove that 
(X^2-1)y2+xy1=n^2y

Grade:12th pass

2 Answers

Aditya Gupta
2075 Points
2 years ago
The question is not clear. Are y2 and y1 derivatives or powers? Kindly mention what these terms represent. Better still, upload a picture of the question.
Md nadim
14 Points
2 years ago
 
Y=A[x+√x^2-1]^n+B[x-√x^2-1]^n
Prove that 
(X^2-1)y2+xy1=n^2y
Y2 second difrenciation
Y1 first difrenciation

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