Find the order and degrees, if defined, of each the following differential equations:
$straight y to the power of straight m plus straight y squared plus straight e to the power of straight y space equals space 0$

Solution

The given differential equation is

straight y to the power of straight m plus straight y squared plus straight e to the power of straight y equals 0

The highest order derivative present in the differential equation is y''', so its order is three. The given differential equation is not a polynomial equation in its derivative and so its degree is not defined.

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Vector Algebra

Find the order and degrees, if defined, of each the following differential equations:
$straight y to the power of straight m plus straight y squared plus straight e to the power of straight y space equals space 0$

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