Question
Write the order of the differential equation $1+\Big(\frac{\text{dy}}{\text{dx}}\Big)^{2}=7\Big(\frac{\text{d}^{2}}{\text{dx}^{2}}\Big)^{3}.$
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Answer
We have,
$1+\Big(\frac{\text{dy}}{\text{dx}}\Big)^{2}=7\Big(\frac{\text{d}^{2}}{\text{dx}^{2}}\Big)^{3}$
The order of a diffrential equation is the order of the highest order derivative.
Here, the deree must be 2.
$1+\Big(\frac{\text{dy}}{\text{dx}}\Big)^{2}=7\Big(\frac{\text{d}^{2}}{\text{dx}^{2}}\Big)^{3}$
The order of a diffrential equation is the order of the highest order derivative.
Here, the deree must be 2.
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