1.

if y=sin(log x) then x^(2)y_(2) + xy_(1) + y=0 then

Answer»

y = sin(logx) 

y1\(\frac{cos(logx)}{x}\)

xy1 = cos(log x). 

Again differentiate w.r.t. x 

xy2 + y11\(\frac{-sin(logx)}{x}\)

x2y2 + xy1 = -y 

⇒ x2y2 + xy1 + y = 0.



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