What is the solution for (dy)/(dx)+(3x)/(x^2+1)y=(6x)/(x^2+1) ?

The solution for (dy)/(dx)+(3x)/(x^2+1)y=(6x)/(x^2+1) is y=(c_{1})/((x^2+1)^{3/2)}+2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(dy)/(dx)+(3x)/(x^2+1)y=(6x)/(x^2+1)

\frac{d y}{d x} + \frac{3 x}{x ^{2} + 1} y = \frac{6 x}{x ^{2} + 1}

y = \frac{c _{1}}{( x ^{2} + 1 ) ^{\frac{3}{2}}} + 2

Solution steps

\frac{d y}{d x} + \frac{3 x}{x ^{2} + 1} y = \frac{6 x}{x ^{2} + 1}

Solve separable ODE:

y = \frac{c _{1}}{( x ^{2} + 1 ) ^{\frac{3}{2}}} + 2

y = \frac{c _{1}}{( x ^{2} + 1 ) ^{\frac{3}{2}}} + 2

\frac{d}{d x} (\frac{e ^{x}}{2})

\int sin (e^{x}) e^{2 x} d x

\frac{3}{( s + 1 ) ^{4}}

x \to 1 lim (4)

\frac{d x}{d t} + 5 t^{3} x^{5} + \frac{x}{t} = 0

What is the solution for (dy)/(dx)+(3x)/(x^2+1)y=(6x)/(x^2+1) ?
The solution for (dy)/(dx)+(3x)/(x^2+1)y=(6x)/(x^2+1) is y=(c_{1})/((x^2+1)^{3/2)}+2