1. Application of Perturbation Methods to Approximate the Solutions to Static and Non-linear Oscillatory Problems FINAL

2. Overview of Work Linear ODE – Found Regular Perturbation Solution Duffing – Found Regular and Poincare- Lindstedt method ( to eliminate secular term) Van Der Pol – Found Regular and Multiple Scales solution ( to eliminate the secular term). Poincare Lindstedt method failed at given boundary conditions

3. Linear ODE

4. Duffing equation Case 1: ε =.01

5. Duffing equation Case 2: ε =.05

6. Van der Pol Case 1: ε =.01

7. Van der Pol Case 2: ε =.05