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Please show the work so I learn Find a general solution of the system: y1\'=3y1

ID: 1813381 • Letter: P

Question

                                Please show the work so I learn  
                            

                                Find a general solution of the system:                             

                                
                                                       y1'=3y1 - 4y2 + 20cos(t)
                                                      y'2=y(base)1 - 2y(base)2                             

                                
                                a.)                 y1=c1e^-t + 4c2e^t - 14cos(t) + 2sin(t),
                                                     y2=c1e^-t + c2e^t - 6cos(t) - 2sin(t)
                                                 
                                b.)                 y1=c1e^-t + 4c2e^2t - 14cos(t) + 2sin(t),
                                                     y2=c1e^-t + c2e^2t - 6cos(t) - 2sin(t)
                                                 
                                c.)                 y1=c1e^-t + 4c2e^2t + 14cos(t) + 2sin(t),
                                                    y2=c1e^-t + c2e^2t + 6cos(t) - 2sin(t)
                                                 
                                d.)                 y1=c1e^6t + c2e^-6t - 1/4,
                                                    y2=c1e^6t - c2e^-6t - t                             

                                
e.)              None of the above; see Problem Work                             

Explanation / Answer

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