Degree of dy-dx 2-3d2y-dx2-1- dy-dx 2 is-

The correct option is D 2 ( (dydx)^2+3d^2ydx^2 )^2=1+ ( dydx )^2 ⇒ 9 ( d^2ydx^2 )+6 ( d^2ydx^2 )+ ( dydx )^4=1+ ( dydx )^2 Highest degree of ( d^ ...

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Degree of a Differential Equations

Degree of d...

Question

Degree of ${(\frac{d y}{d x})}^{2} + 3 \frac{d^{2} y}{d x^{2}} = \sqrt{1 + {(\frac{d y}{d x})}^{2}}$ is:

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{[\frac{d^{2} y}{d x^{2}} + {(\frac{d y}{d x})}^{2}]}^{3 / 2} = k \frac{d^{2} y}{d x^{2}}

3 \frac{d^{2} y}{d x^{2}} = {1 + {(\frac{d y}{d x})}^{2}}^{3 / 2}

{[5 + {(\frac{d y}{d x})}^{2}]}^{3 / 2} = 6 \frac{d^{2} y}{d x^{2}}

{[\frac{d^{2} y}{d x^{2}} + {(\frac{d y}{d x})}^{2}]}^{1 / 2} = \frac{d^{3} y}{d x^{3}}

{(1 + \frac{d y}{d x})}^{2} = 5 {(\frac{d y}{d x})}^{2}

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