UNDETERMINED COEFFICIENT - created from Mind Map

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Only applicable when and only when the right member of the equation is itself a particular solution of some homogeneous linear differential equation with constant coefficients.

we need to look at g(t) and make a guess as to the form of YP(t) leaving the coefficient(s) undetermined

General solution : y″ + p(t) y′ + q(t) y = g(t) or y = yc + Y Complementary solution : yc = C1 y1 + C2 y2 Particular solution : nonhomogeneous solution of the same equation