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Write the Order and the Degree of the Following Differential Equation: X 3 ( D 2 Y D X 2 ) 2 + X ( D Y D X ) 4 = 0

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प्रश्न

Write the order and the degree of the following differential equation: `"x"^3 ((d^2"y")/(d"x"^2))^2 + "x" ((d"y")/(d"x"))^4 = 0`

योग
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उत्तर

Order is the highest order derivative present in the differential equation
And the degree is the power of the highest order derivative.

We have given the differential equation:

`"x"^3 ((d^2"y")/(d"x"^2))^2 + "x" ((d"y")/(d"x"))^4 = 0`

Here, order is 2 and degree is 2.

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2018-2019 (March) 65/1/3

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