Question

The general solution of the differential equation \( \frac{dy}{dx} = 3x^2 \) is:

• A. \( y = x^3 + C \)
• B. \( y = 3x^3 + C \)
• C. \( y = \frac{3}{2} x^3 + C \)
• D. \( y = x^3 + 3C \)

Hint:

When solving simple differential equations like \( \frac{dy}{dx} = f(x) \), integrate both sides with respect to \( x \) and add the constant of integration \( C \).