Well, 0 is a constant, so the derivative of 0(, or any other constant) is 0. This information is coming from an 11 year old kid.
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I donot know whether there is actually a zero-order derivative equation, where the equation is defined as having two sides with equality or inequality sign between them. If the question is about a zero-order derivative function, then the answer is yes, since the zero order derivative is the function itself. ------------------ However, as far as we can talk about the differential equation- there is no meaning of "Zero Degree" but as many times while using expansion of differential operator using binomial theorem or while using Leibnitz's rule of differentiation, we simply denote derivatives of zero degree for no differentiation, we can say, for understanding, tha the equations without derivatives eg. y =mx can be treated as Differential Equation of Zero Order.
in case of derivative w.r.t time first derivative with a variable x gives velocity second derivative gives acceleration thid derivative gives jerk
The degree of a differential equation is the POWER of the derivative of the highest order. Using f' to denote df/fx, f'' to denote d2f/dx2 (I hate this browser!!!), and so on, an equation of the form (f'')^2 + (f')^3 - x^4 = 17 is of second degree.
You use order of operations in equations that have more than one type of operation going on (for example, an equation with parenthesis, addition, and multiplication). You would use order of operations in equations like that so you know which operation to do first.
d2y/dx2 + 4*dy/dx + 4y = 2cos2xor d3y/dx3 -2*d2y/dx2 + dy/dx -2y = 12*sin2x