The order and degree of the following differential equation $\left\lbrack 1 + \left( \frac{dy}{dx} \right)^{2} \right\rbrack^{\frac{5}{2}} = \frac{d^{3}y}{dx^{3}}$ are respectively

Question

Dr. Abubacker · Accepted Answer

(a)
Given, $\left\lbrack 1 + \left( \frac{dy}{dx} \right)^{2} \right\rbrack^{\frac{5}{2}} = \frac{d^{3}y}{dx^{3}}$
$\Rightarrow$ $\left( \frac{d^{3}y}{dx^{3}} \right)^{2} = \left\lbrack 1 + \left( \frac{dy}{dx} \right)^{2} \right\rbrack^{5}$
Here, order=3, degree=2

Q. The order and degree of the following differential equation $\left\lbrack 1 + \left( \frac{dy}{dx} \right)^{2} \right\rbrack^{\frac{5}{2}} = \frac{d^{3}y}{dx^{3}}$ are respectively

Explanation

Reviewed by Dr. Abubacker

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