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Popular >

solvefor y,y=xe^y

Solution

solve for

y, y = x e^{y}

Solution

y = - W (- x)

Solution steps

y = x e^{y}

Prepare

y = x e^{y}

for Lambert form:

y e^{- y} = x

Rewrite the equation with

- y = u

and

y = - u

(- u) e^{u} = x

Rewrite

(- u) e^{u} = x

in Lambert form:

e^{u} u = - x

Solve

e^{u} u = - x : u = W (- x)

u = W (- x)

Substitute back

u = - y,

solve for

y

Solve

- y = W (- x) : y = - W (- x)

y = - W (- x)

Graph

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Frequently Asked Questions (FAQ)

What is the answer to solvefor y,y=xe^y ?
The answer to solvefor y,y=xe^y is y=-\W(-x)