What is the solution for (x^2+1)(dy)/(dx)=2xy ?

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(x^2+1)(dy)/(dx)=2xy

(x^{2} + 1) \frac{d y}{d x} = 2 x y

y = e^{c_{1}} x^{2} + e^{c_{1}}

Solution steps

(x^{2} + 1) \frac{d y}{d x} = 2 x y

Solve separable ODE:

y = e^{c_{1}} x^{2} + e^{c_{1}}

y = e^{c_{1}} x^{2} + e^{c_{1}}

x \to 0 + lim (x^{2} ln (x))

x \to (1) lim (\frac{x ^{8} - 1}{x ^{5} - 1})

\int \frac{6 ( 1 + s )}{s ( s ^{2} + 7 s + 6 )} d s

\int 1 - z^{2}

\int \frac{x ^{3} + x}{x - 1} d x

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