Solutions to 2nd-Order Differential Equation
Dr. Shoane
Consider the general 2nd-order differential equation given by:
d2
d
y (t ) + 2 n y (t ) + n 2 y (t ) = K n 2u (t )
2
dt
dt
The Laplace s operator is used to convert a differential equation into an al
Solution to 1st-Order Differential Equation
Dr. Shoane
Consider the 1st-order differential equation given by:
dy
+ ay = b,
dt
or
where b is a constant forcing function
(2.1a)
dy
= ay + b
dt
(2.1b)
The natural response is of the form
y n = Ae
t
(2.1c)
dy
+
Notes on Supernode and Supermesh
Hence, using supernode is advantageous when the voltage source is between two (non-ground) nodes , because of the
cancellation of the iX terms in the original equations. On the other hand, if the voltage source has one nod
332:373 Elements of Electrical Engineering
Spring, 2013
Dr. Shoane
Minimum Things to Know for the Midterm
(No formula sheets will be permitted. Only the provided TI-36X Pro calculator will be allowed)
Know how to:
1.
apply the voltage divider and current