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Determine order and degree(if defined) of differential equation \begin...

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

Question:

Determine order and degree(if defined) of differential equation \begin{align} \frac{d^4y}{dx^4}\;+\;\sin(y^m)\;=0\end{align}

Answer:

\begin{align} \frac{d^4y}{dx^4}\;+\;\sin(y^m)\;=0 \end{align}

\begin{align} \Rightarrow y^{m\;'}+\;\sin(y^m)\;=0 \end{align}

The highest order derivative present in the differential equation is y^{m '}. Therefore, its order is four.

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

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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 1: Determine order and degree(if defined) of differential equation egin{align} frac{d^4y}{dx^4}....

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

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