Please help answer number 2 and 6. Please provide working. 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 dyldx + 18y = exp(2x) . (2) dy/dx2 - (a + b) dy/dx + 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) s=/[(s - a) (s - b) (s - c)] . (6) Solve the initial value problem by Laplace transform dyldt2 - 9 dyldt + 18y = 4 exp(2t) , y(0) = 3, y'(0) = 11