GATE (TF) Textile 2010 Question Paper Solution | GATE/2010/TF/25

Question 25 (Textile Engineering & Fibre Science)

The order and degree of following differential equation are

$\left [ 2+ \left ( \frac{dy}{dx} \right )^2 \right ]^2 = 5\frac{d^2y}{dx^2}$

(A)	4 and 2 respectively
(B)	2 and 2 respectively
(C)	2 and 1 respectively
(D)	2 and 5 respectively

[Show Answer]

Here, differentiation 2 times i.e. $\frac{d^2y}{dx^2}$

So, the order is 2
and the power of $\frac{d^2y}{dx^2}$ is 1

So, the degree is 1

Option C is correct.

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