The order and degree of the differential equation y - x dy-dx - -a-2 - dy-dx -2 - b-2-are1-22-11-12-2

The correct option is A 1,2Given differential equation can be written as y^2 = x^2 (dy/dx )^2 2xy. dy/dx = a^2 ( dy/dx )^2 + b^2. Hence it is of 1st order a ...

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Standard XII

Mathematics

Degree of a Differential Equations

The order and...

Question

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

1,2

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2,1

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1,1

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2,2

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Solution

The correct option is A
1,2

Given differential equation can be written as
$y^{2} = x^{2} {(\frac{d y}{d x})}^{2} - 2 x y . \frac{d y}{d x} = a^{2} {(\frac{d y}{d x})}^{2} + b^{2} .$
Hence it is of 1^st order and 2^nddegree differential equation.

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The order and degree of the differential equation y=xdydx+√a2(dydx)2+b2 are

The correct option is A 1,2Given differential equation can be written as y2=x2(dydx)2−2xy.dydx=a2(dydx)2+b2. Hence it is of 1st order and 2nddegree differential equation.

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

The correct option is A
1,2

Given differential equation can be written as
$y^{2} = x^{2} {(\frac{d y}{d x})}^{2} - 2 x y . \frac{d y}{d x} = a^{2} {(\frac{d y}{d x})}^{2} + b^{2} .$
Hence it is of 1^st order and 2^nddegree differential equation.