What is the solution for (dy)/(dx)=(1+y^6)/(xy^5) ?

The solution for (dy)/(dx)=(1+y^6)/(xy^5) is y=\sqrt[6]{c_{1}x^6-1},y=-\sqrt[6]{c_{1}x^6-1}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(dy)/(dx)=(1+y^6)/(xy^5)

\frac{d y}{d x} = \frac{1 + y ^{6}}{x y ^{5}}

y = 6 c_{1} x^{6} - 1, y = - 6 c_{1} x^{6} - 1

Solution steps

\frac{d y}{d x} = \frac{1 + y ^{6}}{x y ^{5}}

Solve separable ODE:

y = 6 c_{1} x^{6} - 1, y = - 6 c_{1} x^{6} - 1

y = 6 c_{1} x^{6} - 1, y = - 6 c_{1} x^{6} - 1

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

(x + 1)^{2} d y - y d x = 0

\frac{d y}{d t} + 50 y = 2000

y^{^{'}} 3 x^{2} y = x^{2}

(y - x \frac{d y}{d x}) = 3 (1 - x^{2} \frac{d y}{d x})

What is the solution for (dy)/(dx)=(1+y^6)/(xy^5) ?
The solution for (dy)/(dx)=(1+y^6)/(xy^5) is y=\sqrt[6]{c_{1}x^6-1},y=-\sqrt[6]{c_{1}x^6-1}