The order and deg

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