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3 cards from this section. Quick, good the night before a test.
What is the general form of the solution for real and distinct roots?
Think of the characteristic equation's roots.
How does the graph of solutions with complex roots behave?
Remember the terms sinusoidal and oscillatory.
What type of solution is represented by complex roots?
Recall the different forms of roots discussed in class.
True or False: Real and distinct roots indicate oscillatory behavior.
Think back on how each root type behaves in graphs.
Given the differential equation y'' + 3y' + 2y = 0, find the type of roots and describe the implications for a structural application.
Consider applying the quadratic formula.
For the equation y'' + 4y = 0, identify the roots and explain how they impact interpretational aspects of engineering design.
Recall that imaginary parts relate to sinusoidal functions.
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