The order and degree of the differential equation $(1 + 3 y_{1})^{2 / 3}$ respectively is

1, \frac{2}{3}

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3, 1

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3, 3

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1, 2

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Solution

The correct option is A $1, \frac{2}{3}$
Given,
$(1 + 3 y_{1})^{\frac{2}{3}}$ can be written as;

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

The order is the highest derivative of differentiation, therefore, the order is $1$ .

and degree is power raised to the highest differentiation
Hence, degree is $\frac{2}{3}$

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