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Given the differential equation \(\frac{dy}{dx} = \frac{x^4-y^4}{(x^2+y^2)xy}\) the degree of differential equation is _____________

(a) 1

(b) 4

(c) 0

(d) 2

I had been asked this question in homework.

Asked question is from First Order First Degree Differential Equations in chapter Ordinary Differential Equations – First Order & First Degree of Engineering Mathematics

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The correct option is (a) 1

Explanation: The degree of a differential equation is the degree of the highest order derivative when differential coefficients are free from radicals and fraction above differential i.e having first order is free from radical and a fraction has a power of 1 thus it has a degree of 1.

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