If x=tan(a1logy) ,show that (1−x2)dx2d2 y+(2x−a)dxdy=0

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If {x}={{{({{1}}{{a}}{{{y}}})}}} ,show that {({1}-{x}^{{2}})}{

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If $x = tan (\frac{1}{a} lo g y),$ show that $(1 - x^{2}) \frac{d ^{2} y}{d x ^{2}} + (2 x - a) \frac{d y}{d x} = 0$

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x = tan (\frac{1}{a} lo g y),

show that

(1 - x^{2}) \frac{d ^{2} y}{d x ^{2}} + (2 x - a) \frac{d y}{d x} = 0

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Question Text

x = tan (\frac{1}{a} lo g y),

show that

(1 - x^{2}) \frac{d ^{2} y}{d x ^{2}} + (2 x - a) \frac{d y}{d x} = 0