What is the solution for (dy)/(dx)=8x^3y-8xy ?

The solution for (dy)/(dx)=8x^3y-8xy is y=e^{8((x^4)/4-(x^2)/2)+c_{1}}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

(dy)/(dx)=8x^3y-8xy

\frac{d y}{d x} = 8 x^{3} y - 8 x y

y = e^{8 (\frac{x ^{4}}{4} - \frac{x ^{2}}{2}) + c_{1}}

Solution steps

\frac{d y}{d x} = 8 x^{3} y - 8 x y

Solve separable ODE:

y = e^{8 (\frac{x ^{4}}{4} - \frac{x ^{2}}{2}) + c_{1}}

y = e^{8 (\frac{x ^{4}}{4} - \frac{x ^{2}}{2}) + c_{1}}

What is the solution for (dy)/(dx)=8x^3y-8xy ?
The solution for (dy)/(dx)=8x^3y-8xy is y=e^{8((x^4)/4-(x^2)/2)+c_{1}}