The degree and order of the differential equation $y = px + \sqrt[3]{a^{2}\ p^{2} + b^{2}}$, where $p = \frac{dy}{dx}$, are respectively

Question

Dr. Abubacker · Accepted Answer

(a)
Given differential equation is
$y = x\ \frac{dy}{dx} + \left( a^{2}\left( \frac{dy}{dx} ight)^{2} + b^{2} ight)^{\frac{1}{3}}$
$\Rightarrow$ $\left( y - x\ \frac{dy}{dx} ight)^{3} = a^{2}\left( \frac{dy}{dx} ight)^{2} + b^{2}$
$	herefore$ Order and degree of the above differential equations are 1 and 3 respectively.

Q. The degree and order of the differential equation $y = px + \sqrt[3]{a^{2}\ p^{2} + b^{2}}$, where $p = \frac{dy}{dx}$, are respectively

Explanation

Reviewed by Dr. Abubacker

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