Question: hi need help wuth differential equation 1. Answer the following questions for the nonhomogeneous linear system and vector below. %%6 = 2x+yet anpr =[1]et+[1]te' dy_

hi need help wuth differential equation

1. Answer the following questions for the nonhomogeneous linear system and vector below. %%6 = 2x+yet anpr =[1]et+[1]te' dy_ 3 4 7 t 1 1 E 36+ 31 e a. Write the given linear system in matrix form. b. Verify that the vector Xp is a particular solution to the nonhomogeneous linear system. c. How many solution vectors does the associated homogeneous linear system have? Explain your answer using any important properties/theorems d. Use your knowledge of linear systems to find the general solution

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