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Question: The order and degree of the differential equation \(\left( 1 + 3\frac{dy}{dx} \right)^{\frac{2}{3}}\...

The order and degree of the differential equation (1+3dydx)23\left( 1 + 3\frac{dy}{dx} \right)^{\frac{2}{3}} = 4 d3ydx3\frac{d^{3}y}{dx^{3}} are –

A

1, 23\frac{2}{3}

B

3, 1

C

3,3

D

1, 2

Answer

3,3

Explanation

Solution

(1+3dydx)2\left( 1 + 3\frac{dy}{dx} \right)^{2} = 4 (d3ydx3)3\left( \frac{d^{3}y}{dx^{3}} \right)^{3} order = 3, degree = 3