The general solution of the homogeneous differential equation 3x2y′′+7xy′+y=03x2y″+7xy′+y=0 can be written as yc=ax−1+bx−13yc=ax−1+bx−13 where aa, bb are arbitrary constants and yp=1+3xyp=1+3x is a particular solution of the nonhomogeneous equation 3x2y′′+7xy′+y=24x+13x2y″+7xy′+y=24x +1 By superposition, the general solution of the equation 3x2y′′+7xy′+y=24x+13x2y″+7xy′+y=24x +1 is y=yc+ypy=yc+yp so y=y= NOTE: you must use aa, bb for the arbitrary constants. Find the solution satisfying the initial conditions y(1)=8, y′(1)=8y(1)=8, y′(1)=8 y=y= The fundamental theorem for linear IVPs shows that this solution is the unique solution to the IVP on the interval The Wronskian WW of the fundamental set of solutions y1=x−1y1=x−1 and y2=x−1/3y2=x−1/3 for the homogeneous equation is