Vault Of Euclid

Solving a Separable First-Order Differential Equation

Parametric equations and vector functions warmup

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

The solution and a full step-by-step explanation are here. Sign in to read them.

What you need first

basic algebra
the power rule for integration
understanding of differentials

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 first course on differential equations or calculus II.

More on Parametric equations and vector functions

← today's set