en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

xy^'=e^y

Solution

x y^{^{'}} = e^{y}

Solution

y = - ln (- ln (x) - c_{1})

Solution steps

x y^{'} (x) = e^{y}

Solve separable ODE:

y = - ln (- ln (x) - c_{1})

y = - ln (- ln (x) - c_{1})

Popular Examples

integral from 0 to 1 of (sqrt(x)-x)

\int_{0}^{1} (x - x) d x

sum from n=1 to infinity of (-1^n)/(n!)

n = 1 \sum \infty \frac{- 1 ^{n}}{n !}

derivative of x^{8cos(x)}derivative of

x^{8 c o s (x)}

limit as x approaches 1-of 1-x^3

x \to 1 - lim (1 - x^{3})

integral of 2/(sqrt(16-25x^2))

\int \frac{2}{16 - 25 x ^{2}} d x

Frequently Asked Questions (FAQ)

What is the solution for xy^'=e^y ?
The solution for xy^'=e^y is y=-ln(-ln(x)-c_{1})