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Popular >

y=e^y

Solution

y = e^{y}

Solution

No Solution for y \in R

Solution steps

y = e^{y}

Prepare

y = e^{y}

for Lambert form:

y e^{- y} = 1

Rewrite the equation with

- y = u

and

y = - u

(- u) e^{u} = 1

Rewrite

(- u) e^{u} = 1

in Lambert form:

e^{u} u = - 1

Solve

e^{u} u = - 1 :

No Solution for

u \in R

No Solution for y \in R

Popular Examples

4^{x+2}=8^{4x-3}

4^{x + 2} = 8^{4 x - 3}

8^{(4^{(x^2)})}=8

8^{(4^{(x^{2})})} = 8

solvefor n,x^{1/n}=t solve for

n, x^{\frac{1}{n}} = t

16 = 3 2^{x}

440 = 402 \cdot 2^{x}

Frequently Asked Questions (FAQ)

What is the answer to y=e^y ?
The answer to y=e^y is No Solution for y\in\mathbb{R}