Consider the following statements in respect of the differential equation $\frac{d^{2} y}{d x^{2}} + c o s (\frac{d y}{d x}) = 0 :$
1. The degree of the differential equation is not defined.
2. The order of the differential equation is 2.
Which of the above statements is/are correct ?

1 only

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2 only

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Both 1 and 2

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not defined

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Solution

The correct option is B 2 only
$\frac{d^{2} y}{d x^{2}} + cos \frac{d y}{d x} = 0$
The order of differential equation is 2.
Degree of a differential equation is power of highest order differential equation
$∴$ The degree of this differential equation is 1.

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