If m- n are the order and degree of y2 d2ydx2 3-3xdydx-x2y2-sinx is-

The correct option is D mOrder=2 =mdegree=3=n=m lt;n ...

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Order of a Differential Equation

If m, n are t...

Question

If m, n are the order and degree of $y^{2} {(\frac{d^{2} y}{d x^{2}})}^{3} + 3 x \frac{d y}{d x} + x^{2} y^{2} = s i n x$ is:

m = n

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m < n

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m > n

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2 m = n

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If ‘m’ and ‘n’ are the order and degree of the differential equation $(y^{''})^{5} + \frac{4 (y^{''})^{3}}{y^{'''}} + y^{'''} = s i n x$ , then

y^{2} {(\frac{d^{2} y}{d x^{2}})}^{2} + 3 x {(\frac{d y}{d x})}^{\frac{1}{3}} + x^{2} y^{2} = s i n x

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

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{(y_{2})}^{5} + \frac{4 {(y_{2})}^{3}}{y_{3}} + y_{3} = x^{2} - 1

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{(\frac{d^{2} y}{d x^{2}})}^{5} + 4. \frac{{(\frac{d^{2} y}{d x^{2}})}^{3}}{(\frac{d^{3} y}{d x^{3}})} + (\frac{d^{3} y}{d x^{3}}) = x^{2} - 1

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