Cabiolab
2020-11-20
Answered

Solve the general initial value problem modeling the LR circuit, $\frac{dl}{dt}+RI=E,I\left(0\right)={I}_{0}$ , where E is a constant source of emf.

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Corben Pittman

Answered 2020-11-21
Author has **83** answers

Step 1

Let our equation be

We have first order linear differential equation. To solve her, we must find integration factor

We will get integration factor using next formula

Now, multiply both sides of our equation with integration factor

Step 2

Integrate both sides of equation