Discussion
A differential equation not depending on x(variable) is called
Answer: B
A differential equation whose right-hand side does not contain the independent variable explicitly is called autonomous.
\[ \frac{dy}{dx} = f(y) \quad\text{is autonomous}; \qquad \frac{dy}{dx} = f(x,y) \quad\text{in general is not} \]
Autonomous equations are unchanged by a shift in \( x \), which is why their direction fields look the same in every vertical strip.
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