Q. 365.0( 2 Votes )

The order and degree of the differential equation respectively, are
A. 2 and 4

B. 2 and 2

C. 2 and 3

D. 3 and 3

Answer :

The differential equation is


Order is defined as the number which represents the highest derivative in a differential equation


Here is the highest derivative in given equation which is second order hence order of given differential equation is 2


Now let us find the degree


Let us first bring integer powers on the differentials




Take power 4 on both sides



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


Here differentials means


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


Observe that in the term of differential equation (a) the maximum power of will be 4


Highest order is and highest power to it is 4


Hence degree of given differential equation is 4


Hence order 2 and degree 4

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