Vault Of Euclid

Solving a Simple Separable Differential Equation

Parametric equations and vector functions warmup

Solve \( x - y^2 \frac{dy}{dx} = 0 \).

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What you need first

Basic algebraic manipulation
The power rule for indefinite integrals
Understanding of differentials

What this problem tests

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

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

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