Q4Mathematics II
Question
2 marks
Q.4. State the Gauss divergence theorem.
Answer
Clairaut's equation is a highly specific first-order differential equation rigidly taking the exact mathematical form , where , whose absolute general solution is instantly found by replacing with a constant .
In differential equations, Clairaut's form represents a unique class where the dependent variable is explicitly expressed directly as a linear combination of and a function of the derivative .
The absolute general solution to this specific equation is remarkably simple. It represents a strict family of straight lines obtained explicitly by mathematically substituting the derivative directly with an arbitrary constant :