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Question
What is the degree of the following differential equation?
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Solution
\[5x \left( \frac{dy}{dx} \right)^2 - \frac{d^2 y}{d x^2} - 6y = \log x\]
Here, we see that the highest order derivative is \[\frac{d^2 y}{d x^2}\] and its power is 1.
Therefore, the given differential equation is of first degree.
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