Please help me answer number 2 and 6. Thank you!

Solve the following differential equation by the variation of parameters. Verify your solution by finding the complementary functions and particular solutions (or particular integrals): (1) dyldx2 - 9 dy/dx + 18y = exp(2x) . (2) dyldx2 - (a + b) dyldx + aby = exp(ax) . (a, b are real constants and a # b) * * * (3) Find the Laplace transform of (c, B = real constants) t exp(ct) sin(Bt) . (4) Find the inverse transform of (a, b = real constants) s/[(s - a)2 + b2] . (5) Find the inverse transform of (a, b, c = distinct real constants) s2/[(s - a) (s-b) (s -c)] . (6) Solve the initial value problem by Laplace transform dy/dt2 - 9 dyldt + 18y = 4 exp(2t) , y(0) = 3, y'(0) = 11