In differential equation, degree is the exponent of the order of differential equation.
And order of differential equation refers to the highest derivative.
`((d^2y)/(dx^2))^4 - (dy)/(dx) = 0`
>The equation is of order 2 or second order, since `(d^2y)/(dx^2)` is the highest derivative.
> Since the highest derivative is raised to a power of 4 `(((d^2y)/(dx^2))^4)` ,the degree of the differential equation is 4.
As for the problem above, we may re-write it as:
since` (d^4y)/(dx^4)` is the same as `((d^4y)/(dx^4))^1` .
The highest derivative present in the equation is `(d^4y)/(dx^4)` and it is raised to a power of 1.
Hence, the degree of the given differential equation is 1 .