Vault Of Euclid

Solving a Simple Separable Differential Equation

Parametric equations and vector functions warmup

Solve \( \frac{dy}{dx} = \frac{x^2}{y^3} \).

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What you need first

basic algebraic manipulation
the power rule for integration
understanding of indefinite integrals and constants of integration

What this problem tests

Tests the ability to recognize a separable differential equation, correctly separate the variables, and perform basic polynomial integration.

This is a standard introductory problem in a calculus course covering basic differential equations.

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