What about the constant of integration? You have completely ignored it.
It would help if the original question was posted. Assuming a series RL circuit and assuming V does not depend on time:
5. Application of ODEs: Series RL Circuit
I'm having trouble with this, here's my attempt:
Now introduce f(t) for the integratino factor, divide by L to get the first order on its own
So far this seems somewhat logical, as the final answer has the minus factor in it.
Continuing:
Integrating this gets me back to
as theres nothing i can do with the exponentials
The answer i should be getting is:
Hope you can help me out
What about the constant of integration? You have completely ignored it.
It would help if the original question was posted. Assuming a series RL circuit and assuming V does not depend on time:
5. Application of ODEs: Series RL Circuit
It's not a question it's just something I am trying to derive.
As for the constant, the first integral should have a constant (though generally in first order integrating factor questions it's saved till the end). In this case it woudl still cancle anyway from what i can see.
As for the second integral, it would be between 0 and t (i.e. no constant).
So following that:
i would get