Question: a. Show that y = C/x is a solution of the differential equation dy/dx = - y/x for any real number C. Find the partic

a. Show that y = C/x is a solution of the differential equation dy/dx = - y/x for any real number C. Find the partic solution that passes through (2,5).
b. Show that y = 2/(1 + ce-6t) is a solution of the differential equation dy/dt= 3y(2 - y) for any real number c. Find the particular solution that passes through (0,1).

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