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Question

The differential equation dy/dx + Py = Q is called

RankGuru · Accepted Answer

1. **Linearity Criteria**: An equation is linear if the dependent variable ($y$) and its derivatives appear only to the first power and are not multiplied together.
2. **Form Analysis**: $\frac{dy}{dx} + P(x)y = Q(x)$ satisfies these criteria.
3. **Terms**: $P(x)$ and $Q(x)$ are continuous functions of $x$.
4. **Method of Solution**: This type is standardly solved using an **Integrating Factor (I.F.)** $= e^{\int P(x)dx}$.

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The integrating factor of dy/dx + y = x is