Answer :

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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