Solution of First Order Linear Differential Equations

If we have a first order linear differential equation, dy dx + P(x)y = Q(x), then the integrating factor is given by I(x) = e ∫ P ( x) dx. We use the integrating factor to turn the left hand side of the differential equation into an expression that we

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2.2 Solving first-order ODEs

( ) ( ) 1. Let and rewrite the equation as ( ) ( ) 2. This equation is linear. Use that method to solve, and then substitute for v in the solution. General Example: Solve First put this into the “form” of
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