Differential Equations Question 110

Question: The differential equation for the line $ y=mx+c $ is (where c is arbitrary constant)

Options:

A) $ \frac{dy}{dx}=m $

B) $ \frac{dy}{dx}+m=0 $

C) $ \frac{dy}{dx}=0 $

D) None of these

Show Answer

Answer:

Correct Answer: A

Solution:

Differentiate it w.r.t. x, we get $ \frac{dy}{dx}=m $ .