What is the solution for (dy)/(dx)-1/x y=1-1/x ?

The solution for (dy)/(dx)-1/x y=1-1/x is y=xln(x)+1+c_{1}x

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(dy)/(dx)-1/x y=1-1/x

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

y = x ln (x) + 1 + c_{1} x

Solution steps

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

Solve linear ODE:

y = x ln (x) + 1 + c_{1} x

y = x ln (x) + 1 + c_{1} x

f (x) = 25 - x^{2}, (5, 0)

\frac{x + 7}{3 x ^{2} e ^{x}}

x \to 0 lim (ln (\frac{2}{x}))

y^{^{'}} = (x + y + 7)^{2}

What is the solution for (dy)/(dx)-1/x y=1-1/x ?
The solution for (dy)/(dx)-1/x y=1-1/x is y=xln(x)+1+c_{1}x