Integration Formulas Basic Integration Formulas

Lake Problem The first group assignment to be done with Maple

Non-homogeneous Equations This gives and overview of the Method of Undetermined Coefficients and Variation of Parameters for non-homogeneous equations. Second order, constant coefficients.

Mechanical Vibrations The second group assignment to be done with Maple. 

Maple Tips for Solving Higher Order Equations This is a Maple worksheet and shows how to find the roots of higher order polynomials associated with higher order differential equations. It also shows how Maple can be used to find the unknown coefficients in the Method of Unknown Coefficients, and how to solve for the initial value constraints.

Power Series This gives and overview of power series. Definitions, Convergence and Taylor Series.

Power and Taylor Series Methods This gives and overview of Power Series and Taylor Series Methods of solving initial value problems.

Partial fraction decompositions This gives and overview of the method of partial fractions. It is helpful when seeking the inverse Laplace Transform.

Fourier Coefficients This shows the derivation of the Euler-Fourier formulas for the coefficients in a Fourier series.

Cheat Sheet for Final Variation of Parameters formula, Laplace Transform formulas, and the Euler-Fourier formulas for the coefficients in a Fourier series.