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Choose the correct option.
If m and n are respectively the order and degree of the differential equation d/(dx)[((dy)/(dx))³]…
If $m$ and $n$ are respectively the order and degree of the differential equation $\frac{d}{dx}\left[\left(\frac{dy}{dx}\right)^3\right] = 0$ then the value of $(m - n)$ is: (Recall)
- (a)0
- (b)1
- (c)2
- (d)3
Answer
Answer
Official answer keyCorrect option: (b)
Answer: (b) 1
$\frac{d}{dx}\left[\left(\frac{dy}{dx}\right)^3\right] = 3\left(\frac{dy}{dx}\right)^2\frac{d^2y}{dx^2} = 0$ has highest derivative $\frac{d^2y}{dx^2}$ to the power 1, so order $m = 2$, degree $n = 1$ and $m - n = 1$.