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

KCETKCET 2014Differential Equations

Solution:

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