6. Find the particular integral of each equation: a. y"(t) - 2y'(t) + 5y = 2 b. y"(t ) + y'(t) = 7 c. y"(t) + 2y'(t) - y= -4 7. Find the yo and the yc, the general solution, and the definite solution of each of the following: a. y"(t) - 4y'(t) + 8y = 0; y(0) = 3, y'(0) = 7 b. 2y"(t) - 12y'(t) + 20y = 40; y(0) = 4, y'(0) = 5 c. y"(t) + 9y = 3;y(0) = 1, y'(0) = 3