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Question
Determine the order and degree (if defined) of the following differential equation:-
y"' + y2 + ey' = 0
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Solution
y"' + y2 + ey' = 0
The highest order derivative in the given equation is y''' and its power is 1.
Therefore, the given differential equation is of third order.
This equation cannot be expressed as a polynomial of derivative.
Thus, the degree is not defined.
i.e., Order = 3 and degree is not defined.
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