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Question
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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