A third-order homogeneous linear equation and three linearly independent solutions are given below. Find a particular solution satisfying the given initial conditions. y®) + 2y" - y' - 2y = 0; y(0) = 4, y'(0) = 4, y'"(0) = 0; Y1 = e*, y2 = Y3 = e -2x The particular solution is y(x) =

Solve y" + 3y" + 2y' = 0; y(0) = 5, y'(0) = 2, y" (0) = -3.

Find the solution to x' y – x + t y' if x (0) = 2 and y(0) = 6. x(t) = help (formulas) y(t) = help (formulas)

y''-8y'+17y=0, y(0)=-2, y'(0)=-11   Solve the IVP