This is a third-order homogeneous linear equation and three linearly independent solutions are given. Find a particular solution satisfying the given initial conditions.


y″ – 3y" + 3y − y = 0y(0) = 2, y'(0) = 0, y'(0) = 0y₁ = eª, Y2+ xeˣ, y₃ = x²eˣ.