GATE (TF) Textile 2011 Question Paper Solution | GATE/2011/TF/24

Question 24 (Textile Engineering & Fibre Science)

The order and degree of the following differential equation are

$x \left ( \frac{dy}{dx} \right ) + \frac{2}{\left ( \frac{dy}{dx} \right )} = y^2$

(A)	order 1, degree 1
(B)	order 1, degree 2
(C)	order 2, degree 1
(D)	order 2, degree 2

[Show Answer]

$x \left ( \frac{dy}{dx} \right ) + \frac{2}{\left ( \frac{dy}{dx} \right )} = y^2$

Or we can write it like-

$x(\frac{dy}{dx})^2+2=y^2(\frac{dy}{dx})$

Here, differentiation is one time only $\frac{dy}{dx}$
So, the order of the equation is 1
and
The power of the equation is 2 i.e. $(\frac{dy}{dx})^2$
So, degree is 2
Option B is correct.

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