Q. 24.2( 61 Votes )
Write the order and the degree of the following differential equation:
The differential equation is .
As the degree of a differential equation, of which the differential coefficients are free from radicals and fractions, is the positive integral index of the highest power of the highest order derivatives involved.
The highest order derivative term is , hence the order of this differential equation is 2.
The power to which is raised is 2, hence the degree of this polynomial is 2.
Hence, the order and degree of the given differential equation is 2.
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