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2 cards from this section. Quick, good the night before a test.
What is the complementary function for y′′ + 4y = 0?
Use the auxiliary equation approach.
What is a typical guess for the particular integral if f(x) = e^(3x)?
Think about the form of the non-homogeneous term.
What does the method of undetermined coefficients help us find?
Remember the names of different components in a solution.
True or False: The trial solution is always unique in the method of undetermined coefficients.
Think about how we adjust our trial solutions.
Given the differential equation y′′ + 5y′ + 6y = e^(-3x), find the general solution.
Start by solving the homogeneous part, then adjust your guess for y_p.
How would you solve the equation y′′ + 4y = x^2 cos(2x) using the method of undetermined coefficients?
Remember to check for duplication with the complementary function.
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