The degree of differential equation -1- dy-dx 2-x2 is-

The correct option is C twoThe degree of differential equation is the power of the #160;highest order derivative in the equationthe above given equation is 1 ...

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Standard XII

Mathematics

Degree of a Differential Equations

The degree of...

Question

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

one

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two

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half

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four

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Solution

The correct option is C two
The degree of differential equation is the power of the highest order derivative in the equation
the above given equation is 1+ $(\frac{d y}{d x})^{2} = x^{4}$
hence the degree of the given differential equation is two.
Hence, option 'B' is correct.

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The degree of differential equation √1+(dydx)2=x2 is:

The correct option is C twoThe degree of differential equation is the power of the highest order derivative in the equationthe above given equation is 1+(dydx)2=x4hence the degree of the given differential equation is two.Hence, option 'B' is correct.

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

The correct option is C two
The degree of differential equation is the power of the highest order derivative in the equation
the above given equation is 1+ $(\frac{d y}{d x})^{2} = x^{4}$
hence the degree of the given differential equation is two.
Hence, option 'B' is correct.