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Order of a Differential Equation

Find order an...

Question

Find order and degree
$y = x \frac{d y}{d x} + \sqrt{1 + {(\frac{d y}{d x})}^{2}}$

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Solution

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

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

Here order $= 1$

Degree $= 2$ .

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