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Determine the order and degree of the following differential equation: dydxdydxxd2ydx2+(dydx)2+7x+5=0 - Mathematics and Statistics

Sum

Determine the order and degree of the following differential equation:

`("d"^2"y")/"dx"^2 + ("dy"/"dx")^2 + 7"x" + 5 = 0`

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Solution

The given D.E. is

`("d"^2"y")/"dx"^2 + ("dy"/"dx")^2 + 7"x" + 5 = 0`

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

∴ the given D.E. has order 2 and degree 1.

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