The degree of the differential equation {d² y}{d x²} + 3 ≤ft( d y/d x )² = x² ≤ft( {d² y}{d x²} )

Correct Answer is : Not defined

The degree of the differential equation {d² y}{d x²} + 3 ≤ft( d y/d x )² = x² ≤ft( {d² y}{d x²} )

Correct Answer is : Not defined

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UPSC NDA Math Model Paper 5

Question : 76 of 120

Marks: +1, -0

\frac{d^{2} y}{d x^{2}} + 3 \left( \frac{d y}{d x} \right)^{2} = x^{2} \log \left( \frac{d^{2} y}{d x^{2}} \right)

1
2
3
Not defined

Validate

Solution:

\frac{d^{2} y}{d x^{2}} + 3 \left( \frac{d y}{d x} \right)^{2} = x^{2} \log \left( \frac{d^{2} y}{d x^{2}} \right)

For the given differential equation the highest order derivative is 2.

The given differential equation is not a polynomial equation because it involved a logarithmic term in its derivatives hence its degree is not defined.

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