Determine order and degree(if defined) of differential equation

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Solution

The highest order derivative present in the given differential equation is. 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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(\frac{d^{2} y}{d x^{2}})^{2} + cos (\frac{d y}{d x}) = 0

Determine order and degree (when defined) of differential equations.
${(\frac{d^{2} y}{d x^{2}})}^{2} + c o s (\frac{d y}{d x}) = 0.$

Determine order and degree(if defined) of differential equation

{(\frac{d^{2} y}{d x^{2}})}^{2} + cos (\frac{d y}{d x}) = 0

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