7. Find and classify all singular points for each of the following: I. xy" + (1+x)y' + (x-4)y=0 II. (1-2)y"+ry' + (x-1)y=0 8. Solve for the exponent(s), if any, at the singularity zo=0: (x + x)y" +2y'-(1-x)y=0 9. Determine the first four nonzero terms of the series solution near zo = 0 using the larger root and an 24: (3x2-x)y"-(5+x)y'-3y=0 10. Find the Laplace Transform of the function f(t)=3te". (Without using the table). 38 +28+12 11. Find the inverse Laplace Transform of the function: F(s) = +482