हिंदी

Determine the order and degree of the following differential equation: d2ydx2+x(dydx)+y = 2 sin x -

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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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