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Verify that the vector X is a solution of the given homogeneous linear system. dx -=-2x + 5y dt 5 cos(t) writing the system in the form x'=Ax for some coefficient matrix A, one obtains the following. X' one has 3 cos(c) - since AX Since the above expressions240ion of the ·( 5 cost) 3 cos()- sin() ) et is a solution of the given system.
Show transcribed image textVerify that the vector X is a solution of the given homogeneous linear system. dx -=-2x + 5y dt 5 cos(t) writing the system in the form x'=Ax for some coefficient matrix A, one obtains the following. X' one has 3 cos(c) - since AX Since the above expressions240ion of the ·( 5 cost) 3 cos()- sin() ) et is a solution of the given system.
