| Recent Answers from Dr. Nyayapati Swami |
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2008-11-17 Eigen value: The eigen values tell us about the dynamical stability of the system. There are many examples, and one classical example is the predator prey problem where the population of two species is studied. The...
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2008-11-12 method of undetermined coefficients: Solution to the homogeneous equation is y = a e^x + b e^(-x), where a and b are constants. To find a particular solution (using undetermined coeffs) let y = a(x) e^x + b(x) e^(-x) Find y" and substitute...
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2008-11-04 d.equations: What you are asking are all standard problems which can be solved by reading the theory. For the first three questions, solving the homogeneous equation is straight forward, and you need to work on the...
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2008-10-30 Solving equations: 1) The auxiliary equation is m^2 + 3am -4a^2 = 0 This has solutions m = a and m = -4a Therefore the general solution of the differential equation is x = A e^(at) + B e^(-4at) 2) Auxiliary eqn: 4m^2...
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2008-10-24 Partial Differential Equations: Your project depends on the topics you study in the PDE course. You can add the following to your list of project areas 1) Korteweg de Vries (KdV equation) 2) Dym equation 3) Black Scholes PDE (if...
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