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प्रश्न
Determine the order and degree of the following differential equation:
`(d^2y)/(dx^2) + x((dy)/(dx)) + y` = 2 sin x
योग
उत्तर
The given D.E. is `(d^2y)/(dx^2) + x((dy)/(dx)) + y` = 2 sin x
This differential equation has highest order derivative `(d^2y)/(dx^2)` with power 1.
∴ The given differential equation is of order 2 and degree 1.
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