The extensive coverage of k-space data on a standard MRI scanner requires long acquisition times. In dynamic MRI methods such as DCE-MRI, cardiac MRI, DWI, etc., the shape of the significant values in k-space depends on the structure of the organ and temporal events. The proposed method generates the arbitrary k-space trajectory and optimizes the gradient waveforms by utilizing GO-Active. Design constraints of gradient system are slew rate and gradient amplitude are accounted for by using convex optimization. All images were acquired on a GE 1.5T scanner. Image reconstruction was performed in graphical programming interface.