Q. 355.0( 2 Votes )

The degree of the differential equation is:
A. 4

B. 3/4

C. not defined

D. 2

Answer :

In general terms for a polynomial the degree is the highest power


The differential equation is


Square both the sides



Now for degree to exist the given differential equation must be a polynomial in some differentials


Here differentials mean


The given differential equation is polynomial in differentials


Degree of differential equation is defined as the highest integer power of highest order derivative in the equation


Here the highest derivative is and there is only one term of highest order derivative in the equation which is whose power is 2 hence degree is 2

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