If Y1/m + Y -1/m= 2x , prove that (x2 - 1) Yn + 2 +(2n + 1) xyn+1 +(n2 - m 2 ) Yn = 0 , where Yn denotes the nth derivative of Y.
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Answered by
10
SOLUTION
GIVEN
TO PROVE
EVALUATION
Here it is given that
Squaring both sides we get
Adding Equation 1 and Equation 2 we get
Differentiating both sides with respect to x we get
Again Differentiating both sides with respect to x we get
Differentiating both sides n times using Leibniz Formula with respect to x we get
Hence proved
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Answered by
1
Answer:
If y
1/m + y–1/m = 2x, then show that
(x
2 – 1)yn+2 + (2x + 1)xyn+1 + (n
2 + m2
)yn = 0.
Step-by-step explanation:
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