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Order of a Differential Equation

What is the o...

Question

What is the order of the differential equation $\frac{d x}{d y} + \int y d x = x^{3}$ ?

A

1

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B

2

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C

3

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D

Cannot be determined

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Solution

The correct option is A $2$
Differentiating the equation with respect to $x$ gives,
$- \frac{d^{2} y}{d x^{2}} + y {(\frac{d y}{d x})}^{2} = 3 x^{2} {(\frac{d y}{d x})}^{2}$ ,
$∴$ the order of the differential equation is $2$ ,as its is in pure polynomial form.

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