Determine order and degree (when defined) of differential equations.
$\frac{d^{2} y}{d x^{2}} = c o s 3 x + s i n 3 x$

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Solution

The highest order dervative which occurs in the given differantial equations is $\frac{d^{2} y}{d x^{2}} .$ Therefore, its order is two. It is a polynomial equation in $\frac{d^{2} y}{d x^{2}}$ and the power is raised to $\frac{d^{2} y}{d x^{2}}$ is 1.
Hence, its degree is one.

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