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  4. The order and degree of the D.E. (d2y/dx2) = √[3]1-((dy/dx))4 respectively are

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Q. The order and degree of the $D.E.$ $\frac{d^{2}y}{dx^{2}} = \sqrt[3]{1-\left(\frac{dy}{dx}\right)^{4}} $ respectively are

Differential Equations

Solution:

$\left(\frac{d^{2}y}{dx^{2}} \right)^{3}= 1-\left(\frac{dy}{dx}\right)^{4} $
$\therefore $ degree is $3$ and order $2$