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as many details and explanations as possible Show that (x)=Ce3x2 is a solution to dxdy3y=6 for any choice of the constant C. Thus, Ce3x2 is

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Show that (x)=Ce3x2 is a solution to dxdy3y=6 for any choice of the constant C. Thus, Ce3x2 is a one-parameter family of solutions to the differential equation. Graph several of the solution curves using the same coordinate axes. Substitute (x) for y and find the derivative to substitute for dxdy. dxdy3y=63(Cee3x2)=6

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