Kirchoff's Laws; Mass-Spring Equation

Consider a basic electric circuit with a resistor, capacitor, and inductor and input voltage V(t). It follows Kirchoff's Laws that the charge on the capacitor Q = Q(t) solves the differential equation: {see attachment}, where L (inductance), R (resistance), and C (capacitance) are positive constants (depending on material). The ...continues

System of Equations - Matrix Form; Eigenvalues

Consider the attached system of equations. (a) Write the system in the given matrix form {see attachment} (b) Determine the eigenvalues of A in terms of the parameter {see attachment} (c) The qualitative nature of solutions depends on .... **Please see attachment for complete set of questions. Also, please note: no compu ...continues

Equivalent Systems (Write Given Second Order Equation...)

Write the given second order equation as its equivalent system of first order equations {see attachment for details}

Equivalent Systems

Write the given second order equation as its equivalent system of first order equations {see attachment for details}

Equivalent Systems

Write the given second order equation as its equivalent system of first order equations {see attachment for details}

Eigenvalues of Matrix

Calculate the eigenvalues of this matrix: {see attachment} Note: You'll probably want to use a graphing calculator to estimate the roots of the polynomial which defines the eigenvalues.

Eigenvalues of Matrix

Calculate the eigenvalues of this matrix {see attachment} Note: You'll probably want to use a graphing calculator to estimate the roots of the polynomial which defines the eigenvalues.

Solve matrix system

Please see attached file for full problem description.

Matrix System (Eigenvector)

Please solve the attached matrix system. Thank you.

Matrix System

Please solve the attached system (give solution in real form)