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If sec^2y\ (dy)/(dx)+2xtany=x^3 satisfie...

If `sec^2y\ (dy)/(dx)+2xtany=x^3` satisfies `tany=c e^(-x^A)+B{x^2-1},` then `(AB)^2` equals

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Which of the following are true for the curve represented by the differential equation sec^2y dy/dx+2x tany=x^3 satisfying y(1)=0 (A) equation of curve is 2tany=x^2-1 (B) equation of curve is y^2=x^3-1 (C) curve is a parabola (D) curve is not a conic

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Solve the differential equation sec^2y(dy)/(dx)+2xtany=x^3