Find general solutions of the differential equations in 1 through 30. Primes denote derivatives with respect to x throughout.xeyy0 D 2.ey C x3e2x/

Sec. 1.1 #112, 29, 30, 34, 58 Solutions & Tips 2. Intersection = objects that are in both sets Answer = {1, 4} 4. Difference = objects that belong to B not A Answer = {2, 3, 5} 5. Ā = complement of A which depends on U. Sets: U = numbers 110, A = {1, 4, 7, 10} Ā = {2, 3, 5, 6, 8, 9} 6. Difference = objects that belong to U not C Sets: U = numbers 1 10, C = {2, 4, 6, 8} Answer = {1, 3, 5, 7, 9, 10} 7. Ū = complement of U = empty, Ø based on 0/1 laws. 8, 9, & 11. All deal with identity laws Identity law states: A U Ø = A, A ∩ U = A vice versa for B. 10. Bound laws states: A ∪ U = U, A ∩ Ø = Ø 12. Distributive law: A ∩ (B ∪ C) = (A ∩ B) U (A ∩ C) = {1, 4} ∪ {2,