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2020
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Identify the differential equation, test the solution and write the differential equation, construct a phase portrait for an autonomous system
Use methods for solving dy/dx=f(x), separable, linear first-order, exact and homogeneous equations
Identify and use methods to solve second-order linear equations and second-order homogeneous equations.
Determine the equations and solutions for mechanical vibrations and electrical circuit applications.
Apply power series and Frobenius methods
Identify regular and singular points
Perform Laplace and inverse Laplace transforms
Solve differential equations using Laplace transforms method for initial value problems
Use methods to solve linear systems of differential equations
Construct numerical solutions using numerical approximation and Euler’s method