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What are the order and degree respectively of the differential equation​(2−(dydx)2)0.6=d2ydx2\left( 2 - \left( \frac{dy}{dx} \right)^2 \right)^{0.6} =
Question

What are the order and degree respectively of the differential equation

(2(dydx)2)0.6=d2ydx2\left( 2 - \left( \frac{dy}{dx} \right)^2 \right)^{0.6} = \frac{d^2 y}{dx^2}​​

A.

2, 2

B.

2, 3

C.

5, 2

D.

2, 5

Correct option is D

(2(dydx)2)0.6=d2ydx2(2(dydx)2)35=d2ydx2(2(dydx)2)3=(d2ydx2)5The order and degree are 2 and 5 respectively.\left( 2 - \left( \frac{dy}{dx} \right)^2 \right)^{0.6} = \frac{d^2 y}{dx^2}\\\left( 2 - \left( \frac{dy}{dx} \right)^2 \right)^{\frac{3}{5}} = \frac{d^2 y}{dx^2}\\\left( 2 - \left( \frac{dy}{dx} \right)^2 \right)^3 = \left( \frac{d^2 y}{dx^2} \right)^5\\\text{The order and degree are 2 and 5 respectively.}​​

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