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**Determine the order and degree of the following differential equation:**

`("d"^2"y")/"dx"^2 + "x"("dy"/"dx")` + y = 2 sin x

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#### Solution

The given D.E. is

`("d"^2"y")/"dx"^2 + "x"("dy"/"dx")` + y = 2 sin x

This D.E. has highest order derivative `("d"^2"y")/"dx"^2` with power 1.

∴ the given D.E. is of order 2 and degree 1.

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