Answer Happy

(1 point) Note WebWork will interpret acos(x) as cos ¹(x), so in order to write a times cos(x) you need to type a * cos(x) or put a space between them. The general solution of the homogeneous differential equation can be written as where a, b are arbitrary constants and is a particular solution of the nonhomogeneous equation NOTE: you must use a, b for the arbitrary constants. Find the solution satisfying the initial conditions y = y" +9y = 0 Y Yc = a cos(3x) + b sin(3x) y" +9y = 18e-3r By superposition, the general solution of the equation y" +9y = 18e-³ª is y = Yc + Yp SO Yp = -3x y(0) = 2, y' (0) = 1 The fundamental theorem for linear IVPS shows that this solution is the unique solution to the IVP on the interval The Wronskian W of the fundamental set of solutions cos(3x) and sin(3x) of the homogeneous equation is W =