What is the solution for sqrt(x)(dy)/(dx)=(e^{sqrt(x)})/(e^y) ?

The solution for sqrt(x)(dy)/(dx)=(e^{sqrt(x)})/(e^y) is y=ln(2e^{sqrt(x)}+c_{1})

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

sqrt(x)(dy)/(dx)=(e^{sqrt(x)})/(e^y)

x \frac{d y}{d x} = \frac{e ^{x}}{e ^{y}}

y = ln (2 e^{x} + c_{1})

Solution steps

x \frac{d y}{d x} = \frac{e ^{x}}{e ^{y}}

Solve separable ODE:

y = ln (2 e^{x} + c_{1})

y = ln (2 e^{x} + c_{1})

e^{4 x} e^{2 y} \frac{d x}{d y} - e^{- 3 y} = 0

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

\frac{d y}{d x} = \frac{x}{2 y}

\frac{d q}{d t} = 4 q^{2} ln (t)

y^{^{'}} + t \cdot y = y, y (1) = 3

What is the solution for sqrt(x)(dy)/(dx)=(e^{sqrt(x)})/(e^y) ?
The solution for sqrt(x)(dy)/(dx)=(e^{sqrt(x)})/(e^y) is y=ln(2e^{sqrt(x)}+c_{1})