Question: do solve the following (a) Given that y = 1 at x = 0, solve the differential equation dy 6xy3 dx e2x giving your answer

do solve the following

(a) Given that y = 1 at x = 0, solve the differential equation dy 6xy3 dx e2x giving your answer in the form y = g(x). (7) (b) Hence find the equation of the horizontal asymptote to the curve with equation y' = g(x). (2)

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