What is the solution for (dy)/(dx)=(x-5)e^{-2y} ?

The solution for (dy)/(dx)=(x-5)e^{-2y} is y=(ln(x^2-10x+c_{1}))/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(dy)/(dx)=(x-5)e^{-2y}

\frac{d y}{d x} = (x - 5) e^{- 2 y}

y = \frac{ln ( x ^{2} - 10 x + c _{1} )}{2}

Solution steps

\frac{d y}{d x} = (x - 5) e^{- 2 y}

Solve separable ODE:

y = \frac{ln ( x ^{2} - 10 x + c _{1} )}{2}

y = \frac{ln ( x ^{2} - 10 x + c _{1} )}{2}

\frac{d}{d x} (- 2 tan (2 x))

x \to 2 lim (\frac{x ^{2} + 3}{\frac{1}{x}})

\frac{d y}{d t} = \frac{t e ^{t}}{y 4 + y ^{2}}

f (x) = \frac{e ^{x} + 1}{e ^{x} - 1}

\int x sin (8 - x) d x

What is the solution for (dy)/(dx)=(x-5)e^{-2y} ?
The solution for (dy)/(dx)=(x-5)e^{-2y} is y=(ln(x^2-10x+c_{1}))/2