AP Calculus AB / Differential Equations / Question No. 3

3. The solution to the differential equation \[ \frac{dy}{dx} = \frac{3x^2}{2y}, \quad \text{where } y(3) = 4, \] is:

\( y = \sqrt{\frac{x^3}{3}} + 1 \)

\( y = 7 - \sqrt{\frac{x^3}{3}} \)

\( y = \sqrt{x^3 - 9} \)

\( y = \sqrt{x^3 - 11} \)

Answer is: option4

\( y = \sqrt{x^3 - 11} \)

Solution:

\( y = \sqrt{x^3 - 11} \)

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Home Practice Questions AP Calculus AB Differential Equations Question No. 3