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Question

Mathematics Question on Order and Degree of Differential Equation

The order and degree of the differential equation y=xdydx+2dydxy=x\frac{dy}{dx}+\frac{2}{\frac{dy}{dx}} is

A

44564

B

44562

C

44563

D

44593

Answer

44563

Explanation

Solution

Given differential equation is
y=xdydx+2dy/dxy =x \frac{d y}{d x}+\frac{2}{d y / d x}
ydydx=x(dydx)2+2\Rightarrow y \frac{d y}{d x}=x\left(\frac{d y}{d x}\right)^{2}+2
Here, order =1=1 and degree =2=2