Asap Consider the system of differential equationsdzdtdydt= -1.2z+0.75y,= 1.66666666666667z - 3.2y.For this system, the smaller eigenvalue is -3.7[Note--you may want to use the WolframAlpha widget (right click to open in a new window).Enter your functions and domain, and then click submit.]Ify Ay is a differential equation, how would the solution curves behave?=and the larger eigenvalue is -0.699999999999999OA. All of the solutions curves would converge towards 0. (Stable node)B. All of the solution curves would run away from 0. (Unstable node)OC. The solution curves converge to different points.D. The solution curves would race towards zero and then veer away towards infinity. (Saddle)The solution to the above differential equation with initial values z(0) = 6, y(0) = 4 isz(t) 2.324 e^(-3.7t)-0.179 (-0.71)y(t)= 1.555 e^(-3.71)+2.166 e^(-0.71)

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Consider the system of differential equations dz dt dy dt = -1.2z+0.75y, = 1.66666666666667z - 3.2y. For this system, the smaller eigenvalue is -3.7 [Note--you may want to use the WolframAlpha widget (right click to open in a new window). Enter your functions and domain, and then click submit.] Ify Ay is a differential equation, how would the solution curves behave? = OA. All of the solutions curves would converge towards 0. (Stable node) B. All of the solution curves would run away from 0. (Unstable node) and the larger eigenvalue is -0.699999999999999 OC. The solution curves converge to different points. D. The solution curves would race towards zero and then veer away towards infinity. (Saddle) The solution to the above differential equation with initial values z(0) = 6, y(0) = 4 is z(t) 2.324 e^(-3.71)-0.179 e^(-0.71) y(t)= 1.555 e^(-3.71)+2.166 e^(-0.71)