(a) Use a CAS and the concept of level curves to plot representative graphs of members of...

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(a) Use a CAS and the concept of level curves to plot representative graphs of members of the family of solutions of the differential equation

dy/dx = - (8x + 5) / (3y – 11). Experiment with different numbers of level curves as well as various rectangular regions de­ned by a ≤ x ≤ b, c ≤ y ≤ d.

(b) On separate coordinate axes plot the graphs of the particular solutions corresponding to the initial conditions: y(0) = -1; y(0) = 2; y(-1) = 4; y(-1) = 23.

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