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3 cards from this section. Quick, good the night before a test.
What is the form of a first-order linear differential equation?
Look for terms involving dy/dx, a function of y, and a separate function.
Identify P(x) from the equation dy/dx + 2y = e^(-x).
It's the coefficient of y in the equation.
What is the purpose of the integrating factor in differential equations?
Think about what converting the equation into an exact derivative means.
True or False: The integrating factor is always e^(∫P(x) dx).
Recall how we derived the integrating factor.
Solve the equation dy/dx + 4y = sin(x).
Consider the integration techniques for sin(x)e^(4x).
Derive the general solution to the differential equation dy/dx + 5y = 3e^(3x).
Remember to simplify your final answer.
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