homogeneous solution Definition and Topics - 4 Discussions
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So, I have been trying to come up with a general solution for dI/dt in an RLC circuit.
I have attached the work I have done so far. I don't know where but I am making a mistake and the waveform is not coming out right. Would really appreciate a look over my work to see if I made any obvious errors.
NOTE: zero here does not mean the roots of the denominator in a transfer function
TRUE/FALSE -Please provide feedback- some answers are based on ODE example listed below
1/True) The Homogenous Solution is either zero or transient.; i.e. it can never be steady...
-Does the Homogenous Solution represent the Transient Response?
Let me specify. For a N-DOF spring, mass, and damper mechanical system:
-Does the Homogenous Solution represent the Transient Response for given mechanical system?
I noticed that the solution of a homogeneous linear second order DE can be interpreted as the kernel of a linear transformation.
It can also be easily shown that the general solution, Ygeneral, of a nonhomogenous DE is given by:
Ygeneral = Yhomogeneous + Yparticular
My question: Is it...