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Class 12
Mathematics
Differential Equations
determine order and degree if defined of differen...

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

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

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