Separate the variables in the quotient dy dx D 150y C 2xy

Chapter , Problem 2

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Separate the variables in the quotient dy dx D 150y C 2xy 200x 4xy of the two equations in (1), and thereby derive the exact implicit solution 200 ln y C 150 ln x 2x 4y D C of the system. Use the contour plot facility of a graphing calculator or computer system to plot the contour curves of this equation through the points .75; 100/, .75; 150/, .75; 200/, .75; 250/, and .75; 300/ in the xy-plane. Are your results consistent with Fig. 6.3.1? 3.

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