Determine order and degree (if defined) of differential equation:… - Vidyadip

Question

Determine order and degree (if defined) of differential equation: y' + y = e^x

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Answer

It is given that equation is y’ + y = e^x
$\Rightarrow$ y’ + y – e^x = 0
We can see that the highest order derivative present in the differential is y’.
Thus, its order is one. It is polynomial equation in y’
So, the highest power raised to y’ is 1
Therefore, its degree is one.

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