GATE (TF) Textile 2008 Question Paper Solution | GATE/2008/TF/25

Question 25 (Textile Engineering & Fibre Science)

The second order differentiation equation $x^2 \frac{d^2y}{dx^2}+5x\frac{dy}{dx}+4y=0$ under the transformation $z=\ln x$ , transforms to an ordinary differential equation differential equation with constant coefficients, which is given by

\frac{d^2y}{dz^2}+\frac{1}{5}\frac{dy}{dz}+4y=0

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(A)	$\frac{d^2y}{dz^2}+5\frac{dy}{dz}+4y=0$
(B)	$\frac{d^2y}{dz^2}+\frac{1}{5}\frac{dy}{dz}+4y=0$
(C)	$\frac{d^2y}{dz^2}+4\frac{dy}{dz}+4y=0$
(D)	$\frac{d^2y}{dz^2}+\frac{1}{4}\frac{dy}{dz}+4y=0$