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in Differential Equations by (34.5k points)
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Determine the order and degree of the following differential equation:

\(\left(\cfrac{d^3y}{dx^3}\right)^2 = \sqrt[5]{1+\frac{dy}{dx}}\)

(d3y/dx3)2 = 5√(1+dy/dx)

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The given D.E. is\(\left(\cfrac{d^3y}{dx^3}\right)^2 = \sqrt[5]{1+\frac{dy}{dx}}\)

This D.E. has highest order derivative\(\frac{d^3y}{dx^3}\) with power 10.

∴ the given D.E. is of order 3 and degree 10.

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