Find the solution of the differential equation { {dy}}/{ {dx}}= {e}^{ {x}+ {y}}+ {x}^{2} {e}^{ {y}}

Correct Answer is : ex+e−y+x33=C

{e}^{ {x}}- {e}^{ {y}}+ { {y}^{3}}/{3}= {C}

{e}^{x}+ {e}^{y}+\frac{x^{3}}{3}= {C}

{e}^{x}+ {e}^{- {y}}+ { {x}^{3}}/{3}= {C}

{e}^{x}+ {e}^{- {y}}+ { {y}^{3}}/{3}= {C}

Army Group X Solved Paper

Question : 49 of 50

Marks: +1, -0

Find the solution of the differential equation ‌

=ex+y+x2ey

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