Solving a Basic Separable Differential Equation

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  • Tier 1
  • Integration
  • Constant of Integration
  • Separable differential equations

Solve the separable differential equation \(\frac{dy}{dx} = \frac{3x^2}{2y}\) by separating the variables and finding the general solution.

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Hint

Separate variables to isolate the terms in \(y\) and \(x\), then integrate both sides.

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Complete Answer

\(y^2 = x^3 + C\)

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