Question
Determine order and degree (if defined) of differential equation: $y' + y = e^x$
✓
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.
$\Rightarrow y’ + y – e^x = 0$
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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