Solve the following set of simultaneous differential equations for x(t). y(t) and z(t) using the Laplace...

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Solve the following set of simultaneous differential equations for x(t). y(t) and z(t) using the Laplace transforms. with dx dt +y+z= 0, dit x-y- +z=0, dz dt = 0, = x(0) = 1, y(0) = 0, Z(0) = 1. Solve the following set of simultaneous differential equations for x(t). y(t) and z(t) using the Laplace transforms. with dx dt +y+z= 0, dit x-y- +z=0, dz dt = 0, = x(0) = 1, y(0) = 0, Z(0) = 1.