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Step-by-step explanation:For Example (i): \frac{d^3 x}{dx^3} + 3x\frac{dy}{dx} = e^y
In this equation the order of the highest derivative is 3 hence this is a third order differential equation.
Example (ii) : – (\frac{d^2 y}{dx^2})^ 4 + \frac{dy}{dx}= 3
This equation represents a second order differential equation.
This way we can have higher order differential equations i.e. n^{th} order differential equations.
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