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2 cards from this section. Quick, good the night before a test.
Define Complementary Function (CF).
Think of CFs as solutions without external influences.
What does Particular Integral (PI) refer to?
Recall that PI deals with non-zero function G(x,y).
What is the formula for the general solution of a non-homogeneous linear PDE?
Remember their meanings.
Is the following statement true or false: Complementary Functions are related to non-homogeneous equations.
Focus on the definitions of CF and PI.
Solve the non-homogeneous PDE L(z) = e^(-2x) sin(y) using CF and PI.
Use method of undetermined coefficients for PI.
Given L(z) = z^2 + x*y, find CF and PI.
Focus on the form of the non-homogeneous function G(x,y).
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