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###### Math 228, Winter 2021 Name: Nonhomogeneous Systems with Repeated Functions Consider the system x' =2x+y + 6e' ,y' = 3x +4y.Rewrite the system in matrix form:Solve the homogeneous system[x]-l:] where the coefficient matrix is as above_Examine the nonhomogeneous term from (a) and use t0 create guess for the particular solution. Just as with single nonhomogeneous equation_ is not enough. What else must be included? Why?(d) Solve for the coefficients in the guess (rom (c) by substitut

Math 228, Winter 2021 Name: Nonhomogeneous Systems with Repeated Functions Consider the system x' =2x+y + 6e' ,y' = 3x +4y. Rewrite the system in matrix form: Solve the homogeneous system [x]-l:] where the coefficient matrix is as above_ Examine the nonhomogeneous term from (a) and use t0 create guess for the particular solution. Just as with single nonhomogeneous equation_ is not enough. What else must be included? Why? (d) Solve for the coefficients in the guess (rom (c) by substituting it and its derivative into your equation in (a)_ (e) The general solution t0 the original system is the sum; []-[]-B]- Write it here.

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