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Write the degree of the differential equation x^3((d^2y)/(dx^2))^2+x(dy/dx)^4=0 - Mathematics and Statistics

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Write the degree of the differential equation `x^3((d^2y)/(dx^2))^2+x(dy/dx)^4=0`

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Solution

The given differential equation is ` x^3((d^2y)/(dx^2))^2+x(dy/dx)^4=0`

The highest order derivative present in the given differential equation is `(d^2y)/(dx^2)` The power raised to `(d^2y)/(dx^2) ` is two. So, the degree of the given differential equation is 2.

Concept: Order and Degree of a Differential Equation
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