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Question
Determine the order and degree (if defined) of the differential equation:
y′ + y = ex
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Solution
y′ + y = ex
`=>y' + y - e^x = 0`
The highest-order derivative present in the differential equation is y'.
Therefore, its order is one.
The given differential equation is a polynomial equation in y' and the highest power raised to y' is one. Hence, its degree is one.
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