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3 cards from this section. Quick, good the night before a test.
Define a differential equation.
Think about what makes an equation involve derivatives.
What is the order of the equation dy/dx = 3x?
Look at the highest derivative present.
What is a differential equation?
Consider an equation that includes derivatives.
True or False: All differential equations are linear.
Recall the definition of linear equations.
Consider the differential equation dy/dx + 4y = e^(2x). Determine the order, degree, and solve it.
Remember the integrating factor method and simplify as needed.
Given d²y/dx² - 3dy/dx + 2y = 0, solve this second-order homogeneous differential equation.
Identify the auxiliary equation and determine the characteristic roots.
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