What is the answer to solvefor x,xe^y=2xy+y^3 ?

The answer to solvefor x,xe^y=2xy+y^3 is x=(y^3)/(e^y-2y)

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solvefor x,xe^y=2xy+y^3

solve for

x, x e^{y} = 2 x y + y^{3}

x = \frac{y ^{3}}{e ^{y} - 2 y}

Solution steps

x e^{y} = 2 x y + y^{3}

Move

2 x y

to the left side

x e^{y} - 2 x y = y^{3}

Factor

x e^{y} - 2 x y : x (e^{y} - 2 y)

x (e^{y} - 2 y) = y^{3}

Divide both sides by

e^{y} - 2 y

x = \frac{y ^{3}}{e ^{y} - 2 y}

y, 3 x - 2 y = 14

y, 7 x + y = 8

4 x + 6 = 4 + 10 x

- 4 = - \frac{14}{45} + b

2 - x = - x + 2

What is the answer to solvefor x,xe^y=2xy+y^3 ?
The answer to solvefor x,xe^y=2xy+y^3 is x=(y^3)/(e^y-2y)