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Grade 12th passDifferential Calculus

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

Profile image of Md nadim
7 Years agoGrade 12th pass
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2 Answers

Profile image of Aditya Gupta
7 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.
Profile image of Md nadim
7 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