Determine the particular solution. O y = 2e-x/2 3 - 4ex 3 y = 4e-(x/2) 3 + ²ex 3 O y = 4e-(x/2) - ²ex 3 O y = ²e-x/2 3 + 4ex 3 4y" - 2y' 2y = 0; y(0) = 2,y'(0) = 1

HW: ans./ [-1, co) Solve 5- 3x (1) (2/3, co) (2) 1 2. X-1< -X- 2. (13/3, o ) 2. (3) Y- 31 y-5 2. (- co, 49/30] 4 [-4, co) (5) - Sx+- 4-

The general solution to the ODE x²y" + 2xy' - 2y = 0 is y = C1x + C2x¯2. Use variation of parameters to find a particular solution to x²y" + 2xy' – 2y = x.

Find the general solution to the equation x" - 8x' + 15x = 16et.