UNDETERMINED COEFFICIENT

UNDETERMINED COEFFICIENT

1. 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.

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

3. 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