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Question
Write the sum of the order and degree of the differential equation
\[\left( \frac{d^2 y}{{dx}^2} \right)^2 + \left( \frac{dy}{dx} \right)^3 + x^4 = 0 .\]
Solution
We have \[\left( \frac{d^2 y}{d x^2} \right)^2 + \left( \frac{dy}{dx} \right)^3 + x^4 = 0\]
Here,
Order = 2
Degree = 2
∴ Sum of the order and degree = 2 + 2 = 4
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