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$The solution of d.E y (2 x^{2} y + e^{x}) d x - (e^{x} + y^{3}) d y = 0 is$

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exy=y22−23x3+c

exy=x22−2y33+c

eyx=y22−23x3+c

eyx=y2−x3+c

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detailed solution

Correct option is A

ex(ydx−dy)+2x2y2dx−y3dy=0ex(ydx−dy)y2+2x2dx−ydy=0dexy=ydy−2x2dx Integration both sides exy=y22−23x3+c

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The solution of d.E y2x2y+exdx−ex+y3dy=0 is

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$The solution of d.E y (2 x^{2} y + e^{x}) d x - (e^{x} + y^{3}) d y = 0 is$