Vault Of Euclid

Solving a Simple Separable Differential Equation

Parametric equations and vector functions warmup

Solve \( \frac{dy}{dx} = xy \).

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What you need first

Separation of variables
Basic integration rules
Properties of logarithms and exponents

What this problem tests

Tests the ability to recognize and solve a separable first-order differential equation and correctly handle the constant of integration.

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

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