Questions: :4: 1. Given 1 9 dx 1+ex ' a. Find solution using integration by substitution. b. Check your answer. 2. Given f03(x + 3)(x + 2)-4dx. a. Find solution using integration by parts. b. Check your answer. 3. Givenfx2 ezxdx. 3.. Find solution using integration by parts. 1'). Check your answer. 4. Given [31(ax2 + bx + C)dx . a. Find solution. b. Check your answer. . 2_ 2 5. Given f (x, y) =2 E:2+:2; + 3. Is this function homogeneous? If so, to what degree? 6. Given the differential equation: 5% ~ 5y = 0, where y(0) = 6. a. Find the solution. Show your work. Use the General Solution Form to help check your work. b. Check your answer. 7. Given the differential equation: cg + 4y = 12, where y(0) = 2. a. Find the solution. Show your work. Use the General Solution Form to help check your work. b. Check your