What is the solution for (dy)/(dx)=(y-1)/(x^2sqrt(4+x^2)) ?

The solution for (dy)/(dx)=(y-1)/(x^2sqrt(4+x^2)) is y=e^{-(sqrt(4+x^2))/(4x)+c_{1}}+1

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

(dy)/(dx)=(y-1)/(x^2sqrt(4+x^2))

\frac{d y}{d x} = \frac{y - 1}{x ^{2} 4 + x ^{2}}

y = e^{- \frac{4 + x ^{2}}{4 x} + c_{1}} + 1

Solution steps

\frac{d y}{d x} = \frac{y - 1}{x ^{2} 4 + x ^{2}}

Solve separable ODE:

y = e^{- \frac{4 + x ^{2}}{4 x} + c_{1}} + 1

y = e^{- \frac{4 + x ^{2}}{4 x} + c_{1}} + 1

What is the solution for (dy)/(dx)=(y-1)/(x^2sqrt(4+x^2)) ?
The solution for (dy)/(dx)=(y-1)/(x^2sqrt(4+x^2)) is y=e^{-(sqrt(4+x^2))/(4x)+c_{1}}+1