Math 246 Homework Assignment Four Do the following problems showing all your work. Be sure to submit your solutions in PDF format to the Assignment area of LEO. (Point values are given in the square brackets.) 1. [3] Find the general solution for the differential equation: !!! !" 3 !" ! + 7 !" 11 = 0 2. [4] Find the solution for the initial value problem: !!! !" ! !" 6 !" + 9 = 0; 1 = 1; ! 1 = 1 3. [4] Find the general solution for the differential equation: !!! !" 4 !" ! 4 !" + 26 = 0 4. [4] Find the solution for the initial value problem: !!! !" ! !" 2 !" + = 0; 0 = 1; ! 0 = 2 5. [4] Find the particular solution for the differential equation: !!! !" ! !" + 2 !" + 2 = 4 !! cos () 6. [2] Determine the form of the particular solution for the equation (do not evaluate the coefficients): ! 12 = 2 ! !!! ! 7. [4] Find the particular solution (using undetermined coefficients) for the differential equation: !!! (!) 3 !" ! 8 = sin()