What is the solution for (dy)/(dx)= 1/(xy) ?

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(dy)/(dx)= 1/(xy)

\frac{d y}{d x} = \frac{1}{x y}

y = 2 ln (x) + c_{1}, y = - 2 ln (x) + c_{1}

Solution steps

\frac{d y}{d x} = \frac{1}{x y}

Solve separable ODE:

y = 2 ln (x) + c_{1}, y = - 2 ln (x) + c_{1}

y = 2 ln (x) + c_{1}, y = - 2 ln (x) + c_{1}

f (x) = x x^{3} - 6

y = 2 x^{2} 2 - x

\frac{\partial}{\partial x} (e^{- 1} cos (π x))

\frac{d x}{d t} = \frac{2 x}{t}, x (3) = 1

f (x) = 5 e^{x} + 3 x, (0, 5)

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