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Well, cauchy-riemann differential equation is a part of complex variables and in real-life applications such as engineering, it can be used in determining the flow of fluids, such as the flow around the pipe. In fluid mechanics, the cauchy-riemann equations are decribed by two complex variables, i.e. u and v, and if these two variables satisfy the equations in an open subset of R2, then the vector field can be asserted from the two cauchy-riemann equations, ux = vy (1) uy = - vx (2) This I think can help interpreting the potential flow (Wikipedia) in two dimensions using the cauchy-riemann equations. In fluid mechanics, the potential flow can be analyzed using the cauchy-riemann equations.
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What are the applications of ordinary differential equations in electronics and communication engineering?
very much
How does math relate to engineering?
Most of the engineering classes are dependant on math knowledge; especially the solving of differential equations.
What are real life situations which are applications of linear equations?
Cell phone companies
What are the applications of matrices in electrical engineering?
Matrices can be used for circuit analysis because a circuit component can have an impedance matrix, an admittance matrix or a scattering matrix, of order equal to the number of ports the circuit has. This can also be used for antenna arrays when you have an antenna circuit connected to a feeder (transmission-line) circuit. Matrices are also used in the numerical solution of linear equations: when you have a system of N equations it needs matrices of order N. In field theory integral equations arise which can be solved numerically by using a piecewise-linear approximation which turns an integral equation into a set of linear equations. This is used for analysing raio antennas using the method of moments. All the above applications are coded into software which can be bought and used but designing the sotware falls inside the remit of electrical engineering.
What are the applications of ordinary differential equations in mathematics?
Carbon dating would be one thing...
