What is the solution for xy+2x(dy)/(dx)=y ?

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

xy+2x(dy)/(dx)=y

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

y = e^{\frac{1}{2} (l n (x) - x) + c_{1}}

Solution steps

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

Solve separable ODE:

y = e^{\frac{1}{2} (l n (x) - x) + c_{1}}

y = e^{\frac{1}{2} (l n (x) - x) + c_{1}}

x \to 0 + lim (\frac{1}{x} - ln (x))

n = 0 \sum \infty (\frac{x + 9}{2})^{n}

\frac{\partial}{\partial r} (r ln (r s^{2} t^{3}))

x \to + 1 lim (x (x - 2))

\frac{d}{d x} (sin (2 arcsin (x)))

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