The degree of differential equation x-1-dy-dx -1-2- dy-dx 2-1-3- dy-dx3- - is

The correct option is C one e^x=1+x+x^22!+x^33! ⇒ 1+y_1+y_1^22!+y_1^33!=e^y_1 ⇒ x=e^y_1 ⇒ y_1=log x ∴ order = degree =1 ...

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Degree of a Differential Equations

The degree of...

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The degree of differential equation
$x = 1 + (\frac{d y}{d x}) + \frac{1}{2!} {(\frac{d y}{d x})}^{2} + \frac{1}{3!} {(\frac{d y}{d x})}^{3} + . . . . . . .$ is

three

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one

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not defined

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four

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x = 1 + (\frac{d y}{d x}) + \frac{1}{2!} {(\frac{d y}{d x})}^{2} + \frac{1}{3!} {(\frac{d y}{d x})}^{3} + . . .

x = 1 + (\frac{d y}{d x}) + \frac{1}{2!} {(\frac{d y}{d x})}^{2} + \frac{1}{3!} {(\frac{d y}{d x})}^{3} + . . . .

y (x) = 1 + \frac{d y}{d x} + \frac{1}{1.2} {(\frac{d y}{d x})}^{2} + \frac{1}{1.2.3} {(\frac{d y}{d x})}^{3} + . . . . . \frac{1}{1.2.3....... n} {(\frac{d y}{d x})}^{n}

{[1 + {(\frac{d y}{d x})}^{3}]}^{\frac{7}{3}} = 7 \frac{d^{2} y}{d x^{2}}

x = 1 + x y \frac{d y}{d x} + \frac{(x y)^{2}}{2!} (\frac{d y}{d x})^{2} + \frac{(x y)^{3}}{3!} (\frac{d y}{d x})^{3} + . . . . . .

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