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What is Finding Particular Solutions of DEs about?

The document discusses two methods for finding particular solutions (yp) to non-homogeneous linear differential equations with constant coefficients. The first method uses an exponential function rule, stating that if f(D)eax = g(x), then yp = (1/f(a))g(x). The second method uses a similar rule for an exponential function multiplied by another function, φ(x). It states that if f(D)[eaxφ(x)] = eaxf(D+a)φ(x), then yp = (1/f(D+a))φ(x). Both methods are demonstrated on examples.

Author

Random Ness

Language

EN