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2 cards from this section. Quick, good the night before a test.
Define a differential equation.
Think about functions and their rates of change.
What is the order of the equation d²y/dx² + y = 0?
Identify the highest derivative in the equation.
What defines a linear differential equation?
Focus on the definition of 'linearity'.
True or False: A second-order linear DE can be homogeneous.
Remember the differences between homogeneous and non-homogeneous forms.
Given the second-order DE d²y/dx² + 3dy/dx + 2y = 0, find the general solution.
Identify the roots using factoring.
For the non-homogeneous equation d²y/dx² - y = e^x, derive the particular solution.
Use the method of undetermined coefficients.
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