Class 12 Mathematics - Chapter Differential Equations NCERT Solutions | Determine order and degree(if defined) o

Welcome to the NCERT Solutions for Class 12th Mathematics - Chapter Differential Equations. This page offers a step-by-step solution to the specific question from Exercise 1, Question 4: determine order and degree if defined of differen....
Question 4

Determine order and degree(if defined) of differential equation

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

Answer

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

The highest order derivative present in the given differential equation is \begin{align}\frac{d^2y}{dx^2}.\end{align}

Therefore, its order is 2. The given differential equation is not a polynomial equation in its derivatives.

Hence, its degree is not defined.

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