Show that y cx is a solution of the differential equation


1. Show that y = Cx is a solution of the differential equation dy/dx = x/y for any real number C. Find the particular solution that passes through (-8, 24)

2. Show that y = C/x is a solution of the differential equation dy/dx = -y/x for any real number C. Find the particular solution that passes through (2, 5).

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