Find the general solution of 𝑦
′ + 2𝑥𝑦 = 𝑥.

To find the general solution of the first-order linear differential equation \( y' + 2xy = x \), we follow these steps:

1. **Identify the integrating factor**: For a first-order linear differential equation of the form \( y' + P(x)y = Q(x) \), the integrating factor is given by \( \mu(x) = e^{\int P(x) \, dx

Explore the general solution of the first-order linear differential equation y' + 2xy = x. Understand the integrating factor method and step-by-step solution process. Suitable for undergraduate level mathematics.

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