The order of the differential equation -d-2 y-dx-2-3 -xy -dy-dx-3 is-1234

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Standard XII

Mathematics

Order of a Differential Equation

The order of ...

Question

The order of the differential equation $(\frac{d^{2} y}{d x^{2}})^{3} = x y + (\frac{d y}{d x})^{3}$ is .

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Solution

The correct option is B 2
Order of a differential equation is defined as the highest derivative appearing in the differential equation. In this case, the highest derivative appearing is second derivative of y with respect to x. So the order of the differential equation is 2.

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The order of the differential equation $(\frac{d^{2} y}{d x^{2}})^{3} = x y + (\frac{d y}{d x})^{3}$ is .

The correct option is B 2
Order of a differential equation is defined as the highest derivative appearing in the differential equation. In this case, the highest derivative appearing is second derivative of y with respect to x. So the order of the differential equation is 2.

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The order of the differential equation (d2ydx2)3=xy+(dydx)3 is .

The correct option is B 2Order of a differential equation is defined as the highest derivative appearing in the differential equation. In this case, the highest derivative appearing is second derivative of y with respect to x. So the order of the differential equation is 2.

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STATE BOARDS

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The order of the differential equation $(\frac{d^{2} y}{d x^{2}})^{3} = x y + (\frac{d y}{d x})^{3}$ is .

The correct option is B 2
Order of a differential equation is defined as the highest derivative appearing in the differential equation. In this case, the highest derivative appearing is second derivative of y with respect to x. So the order of the differential equation is 2.