Q. 55.0( 1 Vote )

If 𝒴 = 3 cos (log x) + 4 sin (log x), prove that x2𝒴2 + x𝒴1 + 𝒴 = 0.

Answer :

Differentiating with respect to x



[ we can also write this as xy1 = -3sin(log x ) +4cos(log x )


Differentiating with respect to x





x2y2 + xy1 + y = 0


Hence Proved


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