The degree of the differential equation\(\dfrac{d^2y}{dx^2}+3\left(\df

1.	The degree of the differential equation\(\dfrac{d^2y}{dx^2}+3\left(\dfrac{dy}{dx}\right)^2 =x^2 \log \left(\dfrac{d^2y}{dx^2}\right)\)1. 12. 23. 34. Not defined
Answer» Correct Answer - Option 4 : Not defined Concept: Order: The order of a differential equation is the order of the highest derivative appearing in it. Degree: The degree of a differential equation is the power of the highest derivative occurring in it, after the Equation has been expressed in a form free from radicals as far as the derivatives are concerned. Calculation: \(\dfrac{d^2y}{dx^2}+3\left(\dfrac{dy}{dx}\right)^2 =x^2 \log \left(\dfrac{d^2y}{dx^2}\right)\) 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.

The degree of the differential equation\(\dfrac{d^2y}{dx^2}+3\left(\dfrac{dy}{dx}\right)^2 =x^2 \log \left(\dfrac{d^2y}{dx^2}\right)\)1. 12. 23. 34. Not defined

Answer» Correct Answer - Option 4 : Not defined

Concept:

Order: The order of a differential equation is the order of the highest derivative appearing in it.

Degree: The degree of a differential equation is the power of the highest derivative occurring in it, after the Equation has been expressed in a form free from radicals as far as the derivatives are concerned.

Calculation:

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

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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