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Question

Find the order and degree of the differential equation:
(d3ydx3)2+(d2ydx2)3+(dydx)4+y5=0.

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Solution

Degree of a differential equation: In mathematics, the degree of a differential equation is the power of its highest derivative, after the equation has been made rational and integral in all of its derivatives.
Order of a differential equation: Order of a differential equation is the order of the highest derivative (also known as differential coefficient) present in the equation.
So, for the above differential equation
Order=2
Degree=3

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