The degree and the order of the differential equation y-x dy dx 2 - dx dy 2 are respectively-

The correct option is C 4,1 Given differential equation is y=x( dy dx #160;) #160;^ 2 +( dx dy #160;) #160;^ 2 ⇒ y( dy dx #1 ...

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Standard XII

Mathematics

Degree of a Differential Equations

The degree an...

Question

The degree and the order of the differential equation $y = x {(\frac{d y}{d x})}^{2} + {(\frac{d x}{d y})}^{2}$ are respectively:

1, 1

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2, 1

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4, 1

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1, 4

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Solution

The correct option is C $4, 1$
Given differential equation is
$y = x {(\frac{d y}{d x})}^{2} + {(\frac{d x}{d y})}^{2}$
$\Rightarrow y {(\frac{d y}{d x})}^{2} = x {(\frac{d y}{d x})}^{4} + 1$
Here, degree is $4$ and order is $1$ .

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The degree and the order of the differential equation y=x(dydx)2+(dxdy)2 are respectively:

The correct option is C 4,1Given differential equation isy=x(dydx)2+(dxdy)2⇒y(dydx)2=x(dydx)4+1Here, degree is 4 and order is 1.

The degree and the order of the differential equation $y = x {(\frac{d y}{d x})}^{2} + {(\frac{d x}{d y})}^{2}$ are respectively:

The correct option is C $4, 1$
Given differential equation is
$y = x {(\frac{d y}{d x})}^{2} + {(\frac{d x}{d y})}^{2}$
$\Rightarrow y {(\frac{d y}{d x})}^{2} = x {(\frac{d y}{d x})}^{4} + 1$
Here, degree is $4$ and order is $1$ .