Divide by .
Given find and
I made into a expanded form.
And then I made a triangle using for information.
I got from that triangle that, and that
And from their I simplified.
But whenever I expand and plug in I get a bad answer, and I do not know if it is correct or wrong.
Assessing stability or instability of a system of equations with complex eigenvalues
Having this system , we get clearly two complex eigenvalues. If one has to assess the stability of the system at these eigenvalues, we have for the matrix A:
that , where , while . But with complex eigenvalues , T which must be real, becomes complex and is always 0, when it would vary from greater than or lesser than zero for real eigenvalues. How do we solve this with complex eigenvalues?
Heat transfer between two fluids through a sandwiched solid (coupled problem):
Two fluids flow opposite to each other on either side of a solid (T), while exchanging heat among themselves. In such a scenario, the conduction in the solid is governed by:
with boundary condition as
The fluids are governed by the following equations:
The hot fluid initiates at and the cold fluid starts from .
The boundary conditions are and
Equation (1), (2) and (3) form a coupled system of ordinary differential equations.
It is pretty evident that using (2) and (3), Equation (1) can be re-written as:
However, I have not been able to proceed further.
Some parameter values are
find the Fourier transform of: f(t) = cos(3*pi*t)[u(t+4) - u(t-4)] :
a) using using the Fourier definition the integral identity
b) Finalize your answer using the sinc function
Write a quadratic equation in factored form that has solutions at 6 and -⅔
determine the lowest common multiple of the following 4x2y2, 6xy, 10xy2