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First Order
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For Dummies
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First Order
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Differential Equations
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0:33
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How to Solve First Order Linear Differential Equations | Integrating Factor (Step-by-Step)
How do you solve a differential equation when you can’t separate the variables? If the equation is first order linear, you can use an integrating factor. In this video, we solve a first order linear differential equation step-by-step using the integrating factor method. You’ll see how to rewrite the equation, find the integrating factor ...
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Let’s find the transfer function for this translational mechanical system. Here, we have a mass-spring-damper system. It is clear that the input is the force 𝑓(𝑡) and the output is the displacement 𝑥(𝑡). The restoring force of the Hookean spring, along with the viscous damping force, impede the motion brought about by the forcing function 𝑓(𝑡). By drawing a free-body force diagram, we can use Newton’s Second Law to set up a second-order differential equation which formulates a dynamic mode
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