1-solve the differential equation using laplac transform if f(0) = 11 & f'(0) = 28 d²y d²x - dy dx - 6y = 0

solve this differential equation using the fourier transform method

Consider the differential equation x²y" – 3xy' + 3y = 2a* sin(x) whose complementary equation has fundamental solution set {x, x³}. Use variation of parameters to find the general solution to the differential equation.

Solve for Differential Equation using Laplace transform. Give the correct solution and write on a clean paper clearly and readable. Don't forget to box the final answer.