Question
Write a linear first-order differential equation and work out its general solution
Answer :
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Skip in 10
Sure thing! Let's dive into the world of linear first-order differential equations. A linear first-order differential equation has the general form:
\[ \frac{dy}{dx} + P(x)y = Q(x) \]
Here, \(y\) is the dependent variable, \(x\) is the independent variable, and \(P(x)\) and \(Q(x)\) are functions of \(x\). To solve this equation, we can use an integrating factor, denoted by \( \mu(x) \), which is given by:
\[ \mu(x) =
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