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The degree of the differential equation \begin{align}\left(\frac{d^...

The degree of the differential equation | Class 12 Mathematics Chapter Differential Equations, Differential Equations NCERT Solutions

Question:

The degree of the differential equation

\begin{align}\left(\frac{d^2y}{dx^2}\right)^3\;+ \left(\frac{dy}{dx}\right)^2+\;sin\left(\frac{dy}{dx}\right)\;+ 1=\;0\end{align}

is (A) 3 (B) 2 (C) 1 (D) not defined

Answer:

\begin{align}\left(\frac{d^2y}{dx^2}\right)^3\;+ \left(\frac{dy}{dx}\right)^2+\;sin\left(\frac{dy}{dx}\right)\;+ 1=\;0\end{align}

The given differential equation is not a polynomial equation in its derivatives. Therefore, its degree is not defined.

Hence, the correct answer is D.

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Welcome to the NCERT Solutions for Class 12 Mathematics - Chapter . This page offers a step-by-step solution to the specific question from Excercise 1 , Question 11: The degree of the differential equation egin{align}left(frac{d^2y}{dx^2} ight)^3;+ left(f....

The degree of the differential equation | Class 12 Mathematics Chapter Differential Equations, Differential Equations NCERT Solutions

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