Note WeElWorK will interpret acos (in) as cos 1(23}. so in order to write 0. times 1205(3) you need to type a an 603(3) or put a space between them. The general solution of the homogeneous differential equation H y + 1y = I] can be written as ya = 0. cos(:::) + b5in(:c) where o, b are arbitrary constants and is a particular solution of the nonhomogeneous equation By superposition: the general solution of the equation 3;\" + 13,: = 5e 9' is y = yc + 3;? so NOTE: you must use a, b torthe arbitrary constants. Find the solution satisfying the initial conditions are) = 2, we) = 0 "he fundamental theorem for linear IVPs shows that this solution is the unique solution to the IVP on the interval "he Wronskian W of the fundamental set of solutions cos[1:.t:) and siJ:L(1:c) of the homogeneous equation is By superposition: the general solution of the equation 3;" + 1:; = 58 2: is y = 1% + Hp 50 y = 3*605(x}+D'COS[X)+\"{-23} a cos(x) + bcos(x) te 2: incorrect\f