What is the solution for (dy)/(dx)=(10(1+x))/(xy) ?

The solution for (dy)/(dx)=(10(1+x))/(xy) is y=sqrt(20(ln(x)+x)+c_{1)},y=-sqrt(20(ln(x)+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)=(10(1+x))/(xy)

\frac{d y}{d x} = \frac{10 ( 1 + x )}{x y}

y = 20 (ln (x) + x) + c_{1}, y = - 20 (ln (x) + x) + c_{1}

Solution steps

\frac{d y}{d x} = \frac{10 ( 1 + x )}{x y}

Solve separable ODE:

y = 20 (ln (x) + x) + c_{1}, y = - 20 (ln (x) + x) + c_{1}

y = 20 (ln (x) + x) + c_{1}, y = - 20 (ln (x) + x) + c_{1}

x^{^{'}} = e^{x} t cos (t)

\frac{d y}{d x} = 8 x y^{2}

\frac{d x}{d t} + cos (t) x = cos (t)

5 x y \frac{d y}{d x} = 4, y > 0

\frac{d v}{d t} = \frac{2}{9} v

What is the solution for (dy)/(dx)=(10(1+x))/(xy) ?
The solution for (dy)/(dx)=(10(1+x))/(xy) is y=sqrt(20(ln(x)+x)+c_{1)},y=-sqrt(20(ln(x)+x)+c_{1)}