y=log[x+√(1+x^2)] then show that (1+x^2) d n+2 y /dx n+2 + (2n+1)x d n+1 y / dx n+1 + n 2 d n y / dx n

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dear student Please check and repost to the question as there is no equal sign in to be proved statement. You can also attach image. I will be happy to help you.

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y=log[x+√(1+x^2)] then show that (1+x^2) d n+2 y /dx n+2 + (2n+1)x d n+1 y / dx n+1 + n 2 d n y / dx n

y=log[x+√(1+x^2)] then show that (1+x^2) dⁿ⁺²y /dxⁿ⁺² + (2n+1)x dⁿ⁺¹y / dxⁿ⁺¹ + n² dⁿy / dxⁿ

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y=log[x+√(1+x^2)] then show that (1+x^2) d n+2 y /dx n+2 + (2n+1)x d n+1 y / dx n+1 + n 2 d n y / dx n

y=log[x+√(1+x^2)] then show that (1+x^2) dn+2y /dxn+2 + (2n+1)x dn+1y / dxn+1 + n2 dny / dxn

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y=log[x+√(1+x^2)] then show that (1+x^2) dⁿ⁺²y /dxⁿ⁺² + (2n+1)x dⁿ⁺¹y / dxⁿ⁺¹ + n² dⁿy / dxⁿ