I want to find the approximate solution of a pair of nonlinear coupled DEs below. Can I solve them using perturbation method and if yes, how?
μ can be considered as a small parameter. Boundary conditions: x(t=0) = 0, y(t=0) = 0.
If no, is there any other approximation method to solve such equations analytically?
The context for the equations: This is a system of two capacitor plates - one fixed and one sprung. The first equation is for the normalized charge on the plates (y). The second for the normalized displacement of the plate (x).
μ can be considered as a small parameter. Boundary conditions: x(t=0) = 0, y(t=0) = 0.
If no, is there any other approximation method to solve such equations analytically?
The context for the equations: This is a system of two capacitor plates - one fixed and one sprung. The first equation is for the normalized charge on the plates (y). The second for the normalized displacement of the plate (x).