Apply the method of undetermined coefficients to find a particular solution to the following system x' = 4x + 2y + 2 e2, y' = 2x + 4y - 4 e 2t

Consider the following system of llinear equations. 1/3x+y=5/4 2/3x-4/3y=5/3 Part A: What property/properties can be used to write an equivalent system? Part B: Write an equivalent system and use elimination method to solve for x and y.

Give the general solution to the systemx′ = x + 2y + 5e2ty′ = 3x − 4y + 6e2t

Solve the following system 3 y1 = -yı = -Y1 – 5Y3 233 3/2 1 Y2 +,43 2y3 = (a) yı = cie- + 2c3e2 (b) yı = ce¯* – C3e2 (c) y1 = cie* = cje¯* + 2c3e² (b) y1 = c1e- Y2 = c2e" + cze2* Cze?¤ (c) y1 = c1e¯ 2x Y2 = cze" + c3e2* Cze? C2eª Cze2r 92 = Y3 = 2c3e2 -2x = cje Y3 = 2c3e2" -2x Сзе (е) у1 — Сје Y3 = 2c3e2" (d) ул + 2cze" - -2x Y2 = C2e + C3e“ -2x Y2 = C2e + C3e 2x Y3 2c3e Y3 = 2c3e -2x