If , , then prove that…

MATHEMATICS · Subjective · CBSE · Mathematics · Continuity and Differentiability · Continuity and Differentiability

Problem

If x+ba=atan⁡−1(alog⁡y)\frac{x+b}{a} = a \tan^{-1}(a \log y) , a>0a > 0 , then prove that yy′′−yy′log⁡y=(y′)2yy'' - yy' \log y = (y')^2 .

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