The degree of the differential equation {d²y}{dx²}+3(dy/dx)²=x²log({d²y}{dx²}) is

Correct Answer is : None of these

The degree of the differential equation {d²y}{dx²}+3(dy/dx)²=x²log({d²y}{dx²}) is

Correct Answer is : None of these

Test Index

AP DSC School Assistant Math Model Test 2

Section: Subject Specific

Question : 69 of 160

Marks: +1, -0

The degree of the differential equation

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

1
2
3
None of these

Validate

Solution:

Concept:

The degree of a differential equation is defined only when the equation is a polynomial in the derivatives (i.e., it contains no transcendental functions like log, sin, exp, etc. of the derivatives).

Explanation:

The given equation is

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

. The presence of

\log\left(\frac{d^{2}y}{dx^{2}}\right)

means the equation is not a polynomial in terms of the derivatives. Therefore, the degree of this differential equation cannot be defined.

Answer:

D. None of these

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