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

The solution for (x^2+1)*(dy)/(dx)+3xy=6x 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 >

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

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

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

Solution steps

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

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

y = (1 + x) cos (x), at x = 0

\int \frac{cos ( x )}{sin ^{2} ( x ) sin ( x )} d x

\int \frac{x - 6}{x ^{2} - 18 x + 82} d x

\int t^{2} e^{- 17 t} d t

x \to 3 lim (9 x + 92)

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