Second Order Linear Differential Equations
Use the integrating factor method to solve for u, and then integrate u to find y. That is: 1. Substitute : u′ + p(t) u = g(t) 2. Integrating factor: = ∫ µ(t) e p(t)dt 3. Solve for u: ( ) () () t t g t dt C u t µ ∫µ + = 4. Integrate: y(t) = ∫ u(t) dt This method works regardless whether the …
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