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Q: - u"(x) + 2u'(x) – u(x) = - +-x' + 5x – 4 - "(포) + 2»'(x) - 3v(x) =D -를 + 1 + 272 +4r-1
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solving the system of equations with operators
x'+x+y'=0 x(0)=2 y(0)=1
4x+y'+y=0
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- Solve system of non-homogeneous linear differential equations by the method of operatorsHow do you derive Newton's method for system? Explain the steps?I need help, I need to find one simiple application of differential equations and teach us about with description of the real-world problem as well as a description of which differential equations are involved and how they are used to solve the problem. For a particular equation, explain what the solution represents and what the other components of the equation represent. Depending on the application you choose, you may or may not want to include a solution of the differential equation. For example, if your application involves a system of partial differential equations, you should not solve it! But if your application involves an ordinary differential equation of the type we’ve seen in this class, then you should include its solution.
- Here we have a system of non-linear differential equations: x. = - sin x cos y, y. = sin x + sin y which has an equilibrium at (π,0). 1. What is the Jacobian matrix of the system of equations and evaluate the matrix at the given equilibrium point Using your answer, classify this equilibrium point.Solve the system of differential equation.x1'= 5x1-x2+x3 x2'=x1+3x2 x3'=-3x1+2x2+x3 Determine the nature and stability of thecritical point (0,0,0) of system Î. Justify yourconclusion.
- Solve the system of differential equations with two unknowns corresponding to a system of coupled springs. And explain the procedure step by step how it was solvedModeling with first order differential linear equations: A tank contains 100 gallons of water and 50 oz of salt. water containing a salt concentration of 1/4(1+1/2sint) oz/gal flows into the tank at a rate of 2 gal/min, and the mixture in the tanks flows out at the same rate. a. find the amount of salt in the tank at any time.Differential equiations Select a system of linear equations from any science of your choice, describe it clearly, develop its solution, determine its stability, critical points and phase planes. Based on the result, make observations of the phenomenon studied. Please be as clear as possible, and legible. Show and explain all the steps. Thank you very much.