Financial Linear Complementarity Problem
See attached file for full problem description.
Differential Equations and Bifurcation
For the one-parameter family dy/dt = e^-y^2 + a, find the bifurcation values of a and describe the bifurcation that takes place at each such value.
Differential Equations and Bifurcation
Please see the attached file for the fully formatted problems.
Differential Equations : Phase Lines and Bifurcation Diagrams
Please see the attached file for the fully formatted problems. 22. (a) Use PhaseLines to investigate the bifurcation diagram for the differential equation .… where a is a parameter. Describe the different types of phase lines that occur. (b) What are the bifurcation values for the one-parameter family in part (a)? (c) Use ...continues
Differential Equations : Initial-Value Problems
Differential Equations. From Linear Differential Equations. Please solve for only #10. See attached file for full problem description.
Nonhomogeneous Differential Equations : Particular and General Solutions
14. Consider the nonhomogeneous linear equation dy/dt = λy + cos(2t) To find its general solution, we add the general solution of the associated homogeneous equation and a particular solution yp(t) of the nonhomogeneous equation. Briefly explain why it does not matter which solution of the nonhomogeneous equation we ...continues
Green's Functions, Parabolic Equations and Heat Equation
I am having great difficulty understanding how you derive Green's functions, particularly how the boundary conditions are incorporated. I've also not studied Fourier series before and it appears that these are also used particularly in developing solutions for parabolic PDEs. My text does not have any specific worked examples ...continues
Systems of Differential Equations
From First Order Systems--Modeling via Systems. Please explain each step of your solution and double check your final answers. Thank you.
Systems of Differential Equations : Equlilibrium Points and Phase Portraits
From First Order Systems--The Geometry of Systems Please explain each step of your solution and double check your final answer. Thank you.
Spherical Symmetry, Wave Equations and Continuity
Please see the attached file for the fully formatted problems. I accept the possibility that there is a typo in part (c) and that instead it asks you to show that u_t is discontinuous at (0,a/c) instead of u.
