Vault Of Euclid

Solving a Simple Separable Differential Equation

Parametric equations and vector functions warmup

Solve \( \frac{dy}{dx} = \frac{5y}{7x} \).

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What you need first

Separable differential equations
Integration of rational functions
Properties of logarithms
Properties of exponents

What this problem tests

Tests the ability to recognize and solve separable differential equations, and to correctly handle constants of integration and absolute values.

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

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