What is the solution for (dy)/(dx)+3/x y=16y^3 ?

The solution for (dy)/(dx)+3/x y=16y^3 is y=sqrt(5/(x(32+5c_{1)x^5))},y=-sqrt(5/(x(32+5c_{1)x^5))}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

(dy)/(dx)+3/x y=16y^3

\frac{d y}{d x} + \frac{3}{x} y = 16 y^{3}

y = \frac{5}{x ( 32 + 5 c _{1} x ^{5} )}, y = - \frac{5}{x ( 32 + 5 c _{1} x ^{5} )}

Solution steps

\frac{d y}{d x} + \frac{3}{x} y = 16 y^{3}

Solve Bernoulli ODE:

y = \frac{5}{x ( 32 + 5 c _{1} x ^{5} )}, y = - \frac{5}{x ( 32 + 5 c _{1} x ^{5} )}

y = \frac{5}{x ( 32 + 5 c _{1} x ^{5} )}, y = - \frac{5}{x ( 32 + 5 c _{1} x ^{5} )}

\int_{4}^{7} \frac{x}{x ^{2} + 6 x + 13} d x

t an g e n t f (x) = 2 x^{2} + 2 x, at x = - 3

\int x e - x d x

s l o p e (- 4, 2), (- 9, - 10)

n = 0 \sum \infty - \frac{1}{3 ^{n}}

What is the solution for (dy)/(dx)+3/x y=16y^3 ?
The solution for (dy)/(dx)+3/x y=16y^3 is y=sqrt(5/(x(32+5c_{1)x^5))},y=-sqrt(5/(x(32+5c_{1)x^5))}