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Question
The degree of the differential equation \[\left( \frac{d^2 y}{d x^2} \right)^2 - \left( \frac{dy}{dx} \right) = y^3\], is
Options
1/2
2
3
4
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Solution
2
We have,
\[\left( \frac{d^2 y}{d x^2} \right)^2 - \left( \frac{dy}{dx} \right) = y^3\]
\[\text{ The highest order derivative is }\frac{d^2 y}{d^2 x}\text{ and its power is 2 . }\]
Hence, the degree is 2 .
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