Q5 of 26 Page 1

If m and n are the order and degree, respectively of the differential equation

, then write the value of m+n.


Given: Differential Equation



and Order = m and Degree = n


To find: Value of m + n


Proof:


Given differential equation is



We know that,


The degree of a differential equation is the highest power (exponent) of the highest order derivative in it.


Here, in the given differential equation the highest order derivative is



Its power is 1


So, the degree of the given differential equation is 1


Highest Order of derivative = 2


∴ Order = 2


⇒ m = 2


Degree = Power of y’’


Degree = 1


n = 1


∴ m + n = 2 + 1


= 3


Hence, the value of (m + n) is 3


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