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2. Van der Pol's Equation Van der Pol's equation is a second order nonlinear differential equation. \frac{d^2y}{dt^2} + \mu(y^2 - 1)\frac{dy}{dt} + y = 0 This represents a particular form of electronic feedback oscillator in which the nonlinear term involving dy/dt can give rise to self-excited oscillations. Since the problem is nonlinear, no simple analytical approaches are available and simulation is essential if one wishes to investigate this mathematical model. 2.1 Before using the computer Complete the following tasks. (a) By selecting appropriate state variables, derive the state space model for Van der Pol's oscillator. (b) Explain why this model cannot be expressed in linear Standard State Space Form.

          2. Van der Pol's Equation
Van der Pol's equation is a second order nonlinear differential equation.
\frac{d^2y}{dt^2} + \mu(y^2 - 1)\frac{dy}{dt} + y = 0
This represents a particular form of electronic feedback oscillator in which the nonlinear term involving dy/dt can give
rise to self-excited oscillations. Since the problem is nonlinear, no simple analytical approaches are available and
simulation is essential if one wishes to investigate this mathematical model.
2.1 Before using the computer
Complete the following tasks.
(a) By selecting appropriate state variables, derive the state space model for Van der Pol's oscillator.
(b) Explain why this model cannot be expressed in linear Standard State Space Form.

2. Van der Pol's Equation
Van der Pol's equation is a second order nonlinear differential equation.
(d^2y)/(dt^2) + μ(y^2 - 1)(dy)/(dt) + y = 0
This represents a particular form of electronic feedback oscillator in which the nonlinear term involving dy/dt can give
rise to self-excited oscillations. Since the problem is nonlinear, no simple analytical approaches are available and
simulation is essential if one wishes to investigate this mathematical model.
2.1 Before using the computer
Complete the following tasks.
(a) By selecting appropriate state variables, derive the state space model for Van der Pol's oscillator.
(b) Explain why this model cannot be expressed in linear Standard State Space Form.

Added by Kristen Z.

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